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Finding the Third Proportional to 454,619,416.50 and 981,987,178.50

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Solution

The third proportional to 454,619,416.50 and 981,987,178.50 is: 2,121,112,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,619,416.50 : 981,987,178.50 = 981,987,178.50 : x
  2. Step 2: Convert to fraction form
    454,619,416.50/981,987,178.50 = 981,987,178.50/x
  3. Step 3: Cross multiply
    454,619,416.50x = 981,987,178.50 × 981,987,178.50
  4. Step 4: Simplify right side
    454,619,416.50x = 964,298,818,738,390,912
  5. Step 5: Solve for x
    x = 964,298,818,738,390,912/454,619,416.50
  6. Step 6: Final answer
    x = 2,121,112,261.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.