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Finding the Third Proportional to 181,399 and 423,597

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Solution

The third proportional to 181,399 and 423,597 is: 989,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,399 : 423,597 = 423,597 : x
  2. Step 2: Convert to fraction form
    181,399/423,597 = 423,597/x
  3. Step 3: Cross multiply
    181,399x = 423,597 × 423,597
  4. Step 4: Simplify right side
    181,399x = 179,434,418,409
  5. Step 5: Solve for x
    x = 179,434,418,409/181,399
  6. Step 6: Final answer
    x = 989,169.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.