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Finding the Third Proportional to 129,932,866.50 and 288,916,565.25

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Solution

The third proportional to 129,932,866.50 and 288,916,565.25 is: 642,430,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,932,866.50 : 288,916,565.25 = 288,916,565.25 : x
  2. Step 2: Convert to fraction form
    129,932,866.50/288,916,565.25 = 288,916,565.25/x
  3. Step 3: Cross multiply
    129,932,866.50x = 288,916,565.25 × 288,916,565.25
  4. Step 4: Simplify right side
    129,932,866.50x = 83,472,781,675,857,504
  5. Step 5: Solve for x
    x = 83,472,781,675,857,504/129,932,866.50
  6. Step 6: Final answer
    x = 642,430,078.89

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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.