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Finding the Third Proportional to 19,987.50 and 40,663

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Solution

The third proportional to 19,987.50 and 40,663 is: 82,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.50 : 40,663 = 40,663 : x
  2. Step 2: Convert to fraction form
    19,987.50/40,663 = 40,663/x
  3. Step 3: Cross multiply
    19,987.50x = 40,663 × 40,663
  4. Step 4: Simplify right side
    19,987.50x = 1,653,479,569
  5. Step 5: Solve for x
    x = 1,653,479,569/19,987.50
  6. Step 6: Final answer
    x = 82,725.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.