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Finding the Third Proportional to 77,691 and 166,710

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Solution

The third proportional to 77,691 and 166,710 is: 357,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,691 : 166,710 = 166,710 : x
  2. Step 2: Convert to fraction form
    77,691/166,710 = 166,710/x
  3. Step 3: Cross multiply
    77,691x = 166,710 × 166,710
  4. Step 4: Simplify right side
    77,691x = 27,792,224,100
  5. Step 5: Solve for x
    x = 27,792,224,100/77,691
  6. Step 6: Final answer
    x = 357,727.72

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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.