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Finding the Third Proportional to 77,427 and 82,899

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Solution

The third proportional to 77,427 and 82,899 is: 88,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,427 : 82,899 = 82,899 : x
  2. Step 2: Convert to fraction form
    77,427/82,899 = 82,899/x
  3. Step 3: Cross multiply
    77,427x = 82,899 × 82,899
  4. Step 4: Simplify right side
    77,427x = 6,872,244,201
  5. Step 5: Solve for x
    x = 6,872,244,201/77,427
  6. Step 6: Final answer
    x = 88,757.72

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.