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Finding the Third Proportional to 71,566 and 85,822

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Solution

The third proportional to 71,566 and 85,822 is: 102,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,566 : 85,822 = 85,822 : x
  2. Step 2: Convert to fraction form
    71,566/85,822 = 85,822/x
  3. Step 3: Cross multiply
    71,566x = 85,822 × 85,822
  4. Step 4: Simplify right side
    71,566x = 7,365,415,684
  5. Step 5: Solve for x
    x = 7,365,415,684/71,566
  6. Step 6: Final answer
    x = 102,917.81

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.