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Finding the Third Proportional to 126,125 and 272,160.50

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Solution

The third proportional to 126,125 and 272,160.50 is: 587,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,125 : 272,160.50 = 272,160.50 : x
  2. Step 2: Convert to fraction form
    126,125/272,160.50 = 272,160.50/x
  3. Step 3: Cross multiply
    126,125x = 272,160.50 × 272,160.50
  4. Step 4: Simplify right side
    126,125x = 74,071,337,760.25
  5. Step 5: Solve for x
    x = 74,071,337,760.25/126,125
  6. Step 6: Final answer
    x = 587,285.14

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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.