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Finding the Third Proportional to 20,438 and 29,862

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Solution

The third proportional to 20,438 and 29,862 is: 43,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438 : 29,862 = 29,862 : x
  2. Step 2: Convert to fraction form
    20,438/29,862 = 29,862/x
  3. Step 3: Cross multiply
    20,438x = 29,862 × 29,862
  4. Step 4: Simplify right side
    20,438x = 891,739,044
  5. Step 5: Solve for x
    x = 891,739,044/20,438
  6. Step 6: Final answer
    x = 43,631.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.