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Finding the Third Proportional to 42,689 and 66,342

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Solution

The third proportional to 42,689 and 66,342 is: 103,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,689 : 66,342 = 66,342 : x
  2. Step 2: Convert to fraction form
    42,689/66,342 = 66,342/x
  3. Step 3: Cross multiply
    42,689x = 66,342 × 66,342
  4. Step 4: Simplify right side
    42,689x = 4,401,260,964
  5. Step 5: Solve for x
    x = 4,401,260,964/42,689
  6. Step 6: Final answer
    x = 103,100.59

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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.