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Finding the Third Proportional to 181,503 and 398,727

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Solution

The third proportional to 181,503 and 398,727 is: 875,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,503 : 398,727 = 398,727 : x
  2. Step 2: Convert to fraction form
    181,503/398,727 = 398,727/x
  3. Step 3: Cross multiply
    181,503x = 398,727 × 398,727
  4. Step 4: Simplify right side
    181,503x = 158,983,220,529
  5. Step 5: Solve for x
    x = 158,983,220,529/181,503
  6. Step 6: Final answer
    x = 875,926.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.