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Finding the Third Proportional to 126,725 and 272,170

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Solution

The third proportional to 126,725 and 272,170 is: 584,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,725 : 272,170 = 272,170 : x
  2. Step 2: Convert to fraction form
    126,725/272,170 = 272,170/x
  3. Step 3: Cross multiply
    126,725x = 272,170 × 272,170
  4. Step 4: Simplify right side
    126,725x = 74,076,508,900
  5. Step 5: Solve for x
    x = 74,076,508,900/126,725
  6. Step 6: Final answer
    x = 584,545.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.