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Finding the Third Proportional to 126,124.25 and 272,159.50

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Solution

The third proportional to 126,124.25 and 272,159.50 is: 587,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,124.25 : 272,159.50 = 272,159.50 : x
  2. Step 2: Convert to fraction form
    126,124.25/272,159.50 = 272,159.50/x
  3. Step 3: Cross multiply
    126,124.25x = 272,159.50 × 272,159.50
  4. Step 4: Simplify right side
    126,124.25x = 74,070,793,440.25
  5. Step 5: Solve for x
    x = 74,070,793,440.25/126,124.25
  6. Step 6: Final answer
    x = 587,284.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.