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Finding the Third Proportional to 303,192,448,177.50 and 470,969,505,523.12

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Solution

The third proportional to 303,192,448,177.50 and 470,969,505,523.12 is: 731,589,050,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,192,448,177.50 : 470,969,505,523.12 = 470,969,505,523.12 : x
  2. Step 2: Convert to fraction form
    303,192,448,177.50/470,969,505,523.12 = 470,969,505,523.12/x
  3. Step 3: Cross multiply
    303,192,448,177.50x = 470,969,505,523.12 × 470,969,505,523.12
  4. Step 4: Simplify right side
    303,192,448,177.50x = 221,812,275,132,692,166,606,848
  5. Step 5: Solve for x
    x = 221,812,275,132,692,166,606,848/303,192,448,177.50
  6. Step 6: Final answer
    x = 731,589,050,011.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.