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Finding the Third Proportional to 72,721 and 106,686

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Solution

The third proportional to 72,721 and 106,686 is: 156,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,721 : 106,686 = 106,686 : x
  2. Step 2: Convert to fraction form
    72,721/106,686 = 106,686/x
  3. Step 3: Cross multiply
    72,721x = 106,686 × 106,686
  4. Step 4: Simplify right side
    72,721x = 11,381,902,596
  5. Step 5: Solve for x
    x = 11,381,902,596/72,721
  6. Step 6: Final answer
    x = 156,514.66

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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.