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Finding the Third Proportional to 18,721 and 40,959

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Solution

The third proportional to 18,721 and 40,959 is: 89,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,721 : 40,959 = 40,959 : x
  2. Step 2: Convert to fraction form
    18,721/40,959 = 40,959/x
  3. Step 3: Cross multiply
    18,721x = 40,959 × 40,959
  4. Step 4: Simplify right side
    18,721x = 1,677,639,681
  5. Step 5: Solve for x
    x = 1,677,639,681/18,721
  6. Step 6: Final answer
    x = 89,612.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.