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Finding the Third Proportional to 57,747,940 and 128,407,361

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Solution

The third proportional to 57,747,940 and 128,407,361 is: 285,524,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,747,940 : 128,407,361 = 128,407,361 : x
  2. Step 2: Convert to fraction form
    57,747,940/128,407,361 = 128,407,361/x
  3. Step 3: Cross multiply
    57,747,940x = 128,407,361 × 128,407,361
  4. Step 4: Simplify right side
    57,747,940x = 16,488,450,358,984,320
  5. Step 5: Solve for x
    x = 16,488,450,358,984,320/57,747,940
  6. Step 6: Final answer
    x = 285,524,476.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.