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Finding the Third Proportional to 442,810 and 587,762

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Solution

The third proportional to 442,810 and 587,762 is: 780,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,810 : 587,762 = 587,762 : x
  2. Step 2: Convert to fraction form
    442,810/587,762 = 587,762/x
  3. Step 3: Cross multiply
    442,810x = 587,762 × 587,762
  4. Step 4: Simplify right side
    442,810x = 345,464,168,644
  5. Step 5: Solve for x
    x = 345,464,168,644/442,810
  6. Step 6: Final answer
    x = 780,163.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.