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Finding the Third Proportional to 129,654 and 283,374

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Solution

The third proportional to 129,654 and 283,374 is: 619,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,654 : 283,374 = 283,374 : x
  2. Step 2: Convert to fraction form
    129,654/283,374 = 283,374/x
  3. Step 3: Cross multiply
    129,654x = 283,374 × 283,374
  4. Step 4: Simplify right side
    129,654x = 80,300,823,876
  5. Step 5: Solve for x
    x = 80,300,823,876/129,654
  6. Step 6: Final answer
    x = 619,347.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.