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Finding the Third Proportional to 42,742 and 66,353

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Solution

The third proportional to 42,742 and 66,353 is: 103,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,742 : 66,353 = 66,353 : x
  2. Step 2: Convert to fraction form
    42,742/66,353 = 66,353/x
  3. Step 3: Cross multiply
    42,742x = 66,353 × 66,353
  4. Step 4: Simplify right side
    42,742x = 4,402,720,609
  5. Step 5: Solve for x
    x = 4,402,720,609/42,742
  6. Step 6: Final answer
    x = 103,006.89

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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.