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Finding the Third Proportional to 137,572 and 207,744

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Solution

The third proportional to 137,572 and 207,744 is: 313,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,572 : 207,744 = 207,744 : x
  2. Step 2: Convert to fraction form
    137,572/207,744 = 207,744/x
  3. Step 3: Cross multiply
    137,572x = 207,744 × 207,744
  4. Step 4: Simplify right side
    137,572x = 43,157,569,536
  5. Step 5: Solve for x
    x = 43,157,569,536/137,572
  6. Step 6: Final answer
    x = 313,708.96

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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.