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Finding the Third Proportional to 42,690 and 68,592

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Solution

The third proportional to 42,690 and 68,592 is: 110,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,690 : 68,592 = 68,592 : x
  2. Step 2: Convert to fraction form
    42,690/68,592 = 68,592/x
  3. Step 3: Cross multiply
    42,690x = 68,592 × 68,592
  4. Step 4: Simplify right side
    42,690x = 4,704,862,464
  5. Step 5: Solve for x
    x = 4,704,862,464/42,690
  6. Step 6: Final answer
    x = 110,209.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.