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Finding the Third Proportional to 20,142 and 29,438

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Solution

The third proportional to 20,142 and 29,438 is: 43,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 29,438 = 29,438 : x
  2. Step 2: Convert to fraction form
    20,142/29,438 = 29,438/x
  3. Step 3: Cross multiply
    20,142x = 29,438 × 29,438
  4. Step 4: Simplify right side
    20,142x = 866,595,844
  5. Step 5: Solve for x
    x = 866,595,844/20,142
  6. Step 6: Final answer
    x = 43,024.32

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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.