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Finding the Third Proportional to 69,708 and 107,711

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Solution

The third proportional to 69,708 and 107,711 is: 166,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,708 : 107,711 = 107,711 : x
  2. Step 2: Convert to fraction form
    69,708/107,711 = 107,711/x
  3. Step 3: Cross multiply
    69,708x = 107,711 × 107,711
  4. Step 4: Simplify right side
    69,708x = 11,601,659,521
  5. Step 5: Solve for x
    x = 11,601,659,521/69,708
  6. Step 6: Final answer
    x = 166,432.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.