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Finding the Third Proportional to 343,344 and 739,680

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Solution

The third proportional to 343,344 and 739,680 is: 1,593,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,344 : 739,680 = 739,680 : x
  2. Step 2: Convert to fraction form
    343,344/739,680 = 739,680/x
  3. Step 3: Cross multiply
    343,344x = 739,680 × 739,680
  4. Step 4: Simplify right side
    343,344x = 547,126,502,400
  5. Step 5: Solve for x
    x = 547,126,502,400/343,344
  6. Step 6: Final answer
    x = 1,593,522.83

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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.