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Finding the Third Proportional to 375,930 and 810,542

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Solution

The third proportional to 375,930 and 810,542 is: 1,747,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,930 : 810,542 = 810,542 : x
  2. Step 2: Convert to fraction form
    375,930/810,542 = 810,542/x
  3. Step 3: Cross multiply
    375,930x = 810,542 × 810,542
  4. Step 4: Simplify right side
    375,930x = 656,978,333,764
  5. Step 5: Solve for x
    x = 656,978,333,764/375,930
  6. Step 6: Final answer
    x = 1,747,608.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.