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Finding the Third Proportional to 81,702 and 88,911

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Solution

The third proportional to 81,702 and 88,911 is: 96,756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702 : 88,911 = 88,911 : x
  2. Step 2: Convert to fraction form
    81,702/88,911 = 88,911/x
  3. Step 3: Cross multiply
    81,702x = 88,911 × 88,911
  4. Step 4: Simplify right side
    81,702x = 7,905,165,921
  5. Step 5: Solve for x
    x = 7,905,165,921/81,702
  6. Step 6: Final answer
    x = 96,756.09

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.