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Finding the Third Proportional to 303,481,728 and 470,790,144

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Solution

The third proportional to 303,481,728 and 470,790,144 is: 730,335,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,481,728 : 470,790,144 = 470,790,144 : x
  2. Step 2: Convert to fraction form
    303,481,728/470,790,144 = 470,790,144/x
  3. Step 3: Cross multiply
    303,481,728x = 470,790,144 × 470,790,144
  4. Step 4: Simplify right side
    303,481,728x = 221,643,359,687,540,736
  5. Step 5: Solve for x
    x = 221,643,359,687,540,736/303,481,728
  6. Step 6: Final answer
    x = 730,335,105.01

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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.