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Finding the Third Proportional to 20,169 and 29,371

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Solution

The third proportional to 20,169 and 29,371 is: 42,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,169 : 29,371 = 29,371 : x
  2. Step 2: Convert to fraction form
    20,169/29,371 = 29,371/x
  3. Step 3: Cross multiply
    20,169x = 29,371 × 29,371
  4. Step 4: Simplify right side
    20,169x = 862,655,641
  5. Step 5: Solve for x
    x = 862,655,641/20,169
  6. Step 6: Final answer
    x = 42,771.36

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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.