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Finding the Third Proportional to 40,810 and 61,335

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Solution

The third proportional to 40,810 and 61,335 is: 92,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,810 : 61,335 = 61,335 : x
  2. Step 2: Convert to fraction form
    40,810/61,335 = 61,335/x
  3. Step 3: Cross multiply
    40,810x = 61,335 × 61,335
  4. Step 4: Simplify right side
    40,810x = 3,761,982,225
  5. Step 5: Solve for x
    x = 3,761,982,225/40,810
  6. Step 6: Final answer
    x = 92,182.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.