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Finding the Third Proportional to 40,721 and 61,000

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Solution

The third proportional to 40,721 and 61,000 is: 91,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,721 : 61,000 = 61,000 : x
  2. Step 2: Convert to fraction form
    40,721/61,000 = 61,000/x
  3. Step 3: Cross multiply
    40,721x = 61,000 × 61,000
  4. Step 4: Simplify right side
    40,721x = 3,721,000,000
  5. Step 5: Solve for x
    x = 3,721,000,000/40,721
  6. Step 6: Final answer
    x = 91,377.91

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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.