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Finding the Third Proportional to 40,689 and 61,607

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Solution

The third proportional to 40,689 and 61,607 is: 93,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,689 : 61,607 = 61,607 : x
  2. Step 2: Convert to fraction form
    40,689/61,607 = 61,607/x
  3. Step 3: Cross multiply
    40,689x = 61,607 × 61,607
  4. Step 4: Simplify right side
    40,689x = 3,795,422,449
  5. Step 5: Solve for x
    x = 3,795,422,449/40,689
  6. Step 6: Final answer
    x = 93,278.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.