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Finding the Third Proportional to 42,849 and 66,339

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Solution

The third proportional to 42,849 and 66,339 is: 102,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,849 : 66,339 = 66,339 : x
  2. Step 2: Convert to fraction form
    42,849/66,339 = 66,339/x
  3. Step 3: Cross multiply
    42,849x = 66,339 × 66,339
  4. Step 4: Simplify right side
    42,849x = 4,400,862,921
  5. Step 5: Solve for x
    x = 4,400,862,921/42,849
  6. Step 6: Final answer
    x = 102,706.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.