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Finding the Third Proportional to 61,605 and 68,085

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Solution

The third proportional to 61,605 and 68,085 is: 75,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,605 : 68,085 = 68,085 : x
  2. Step 2: Convert to fraction form
    61,605/68,085 = 68,085/x
  3. Step 3: Cross multiply
    61,605x = 68,085 × 68,085
  4. Step 4: Simplify right side
    61,605x = 4,635,567,225
  5. Step 5: Solve for x
    x = 4,635,567,225/61,605
  6. Step 6: Final answer
    x = 75,246.61

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.