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Finding the Third Proportional to 66,442 and 89,509

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Solution

The third proportional to 66,442 and 89,509 is: 120,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,442 : 89,509 = 89,509 : x
  2. Step 2: Convert to fraction form
    66,442/89,509 = 89,509/x
  3. Step 3: Cross multiply
    66,442x = 89,509 × 89,509
  4. Step 4: Simplify right side
    66,442x = 8,011,861,081
  5. Step 5: Solve for x
    x = 8,011,861,081/66,442
  6. Step 6: Final answer
    x = 120,584.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.