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Finding the Third Proportional to 352,728 and 740,400

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Solution

The third proportional to 352,728 and 740,400 is: 1,554,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,728 : 740,400 = 740,400 : x
  2. Step 2: Convert to fraction form
    352,728/740,400 = 740,400/x
  3. Step 3: Cross multiply
    352,728x = 740,400 × 740,400
  4. Step 4: Simplify right side
    352,728x = 548,192,160,000
  5. Step 5: Solve for x
    x = 548,192,160,000/352,728
  6. Step 6: Final answer
    x = 1,554,149.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.