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Finding the Third Proportional to 274,564.69 and 415,228.78

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Solution

The third proportional to 274,564.69 and 415,228.78 is: 627,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,564.69 : 415,228.78 = 415,228.78 : x
  2. Step 2: Convert to fraction form
    274,564.69/415,228.78 = 415,228.78/x
  3. Step 3: Cross multiply
    274,564.69x = 415,228.78 × 415,228.78
  4. Step 4: Simplify right side
    274,564.69x = 172,414,940,778.36
  5. Step 5: Solve for x
    x = 172,414,940,778.36/274,564.69
  6. Step 6: Final answer
    x = 627,957.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.