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Finding the Third Proportional to 81,666 and 87,399

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Solution

The third proportional to 81,666 and 87,399 is: 93,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,666 : 87,399 = 87,399 : x
  2. Step 2: Convert to fraction form
    81,666/87,399 = 87,399/x
  3. Step 3: Cross multiply
    81,666x = 87,399 × 87,399
  4. Step 4: Simplify right side
    81,666x = 7,638,585,201
  5. Step 5: Solve for x
    x = 7,638,585,201/81,666
  6. Step 6: Final answer
    x = 93,534.46

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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.