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Finding the Third Proportional to 20,371 and 29,419

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Solution

The third proportional to 20,371 and 29,419 is: 42,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,371 : 29,419 = 29,419 : x
  2. Step 2: Convert to fraction form
    20,371/29,419 = 29,419/x
  3. Step 3: Cross multiply
    20,371x = 29,419 × 29,419
  4. Step 4: Simplify right side
    20,371x = 865,477,561
  5. Step 5: Solve for x
    x = 865,477,561/20,371
  6. Step 6: Final answer
    x = 42,485.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.