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Finding the Third Proportional to 129,412 and 274,372

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Solution

The third proportional to 129,412 and 274,372 is: 581,707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,412 : 274,372 = 274,372 : x
  2. Step 2: Convert to fraction form
    129,412/274,372 = 274,372/x
  3. Step 3: Cross multiply
    129,412x = 274,372 × 274,372
  4. Step 4: Simplify right side
    129,412x = 75,279,994,384
  5. Step 5: Solve for x
    x = 75,279,994,384/129,412
  6. Step 6: Final answer
    x = 581,707.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.