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Finding the Third Proportional to 72,712 and 106,674

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Solution

The third proportional to 72,712 and 106,674 is: 156,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,712 : 106,674 = 106,674 : x
  2. Step 2: Convert to fraction form
    72,712/106,674 = 106,674/x
  3. Step 3: Cross multiply
    72,712x = 106,674 × 106,674
  4. Step 4: Simplify right side
    72,712x = 11,379,342,276
  5. Step 5: Solve for x
    x = 11,379,342,276/72,712
  6. Step 6: Final answer
    x = 156,498.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.