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Finding the Third Proportional to 328,992 and 717,474

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Solution

The third proportional to 328,992 and 717,474 is: 1,564,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,992 : 717,474 = 717,474 : x
  2. Step 2: Convert to fraction form
    328,992/717,474 = 717,474/x
  3. Step 3: Cross multiply
    328,992x = 717,474 × 717,474
  4. Step 4: Simplify right side
    328,992x = 514,768,940,676
  5. Step 5: Solve for x
    x = 514,768,940,676/328,992
  6. Step 6: Final answer
    x = 1,564,685.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.