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Finding the Third Proportional to 65,340 and 132,489

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Solution

The third proportional to 65,340 and 132,489 is: 268,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,340 : 132,489 = 132,489 : x
  2. Step 2: Convert to fraction form
    65,340/132,489 = 132,489/x
  3. Step 3: Cross multiply
    65,340x = 132,489 × 132,489
  4. Step 4: Simplify right side
    65,340x = 17,553,335,121
  5. Step 5: Solve for x
    x = 17,553,335,121/65,340
  6. Step 6: Final answer
    x = 268,646.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.