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Finding the Third Proportional to 129,710 and 279,418

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Solution

The third proportional to 129,710 and 279,418 is: 601,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,710 : 279,418 = 279,418 : x
  2. Step 2: Convert to fraction form
    129,710/279,418 = 279,418/x
  3. Step 3: Cross multiply
    129,710x = 279,418 × 279,418
  4. Step 4: Simplify right side
    129,710x = 78,074,418,724
  5. Step 5: Solve for x
    x = 78,074,418,724/129,710
  6. Step 6: Final answer
    x = 601,915.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.