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Finding the Third Proportional to 57,746,384 and 128,403,472

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Solution

The third proportional to 57,746,384 and 128,403,472 is: 285,514,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,746,384 : 128,403,472 = 128,403,472 : x
  2. Step 2: Convert to fraction form
    57,746,384/128,403,472 = 128,403,472/x
  3. Step 3: Cross multiply
    57,746,384x = 128,403,472 × 128,403,472
  4. Step 4: Simplify right side
    57,746,384x = 16,487,451,621,654,784
  5. Step 5: Solve for x
    x = 16,487,451,621,654,784/57,746,384
  6. Step 6: Final answer
    x = 285,514,875.21

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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.