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Finding the Third Proportional to 181,302 and 398,850

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Solution

The third proportional to 181,302 and 398,850 is: 877,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,302 : 398,850 = 398,850 : x
  2. Step 2: Convert to fraction form
    181,302/398,850 = 398,850/x
  3. Step 3: Cross multiply
    181,302x = 398,850 × 398,850
  4. Step 4: Simplify right side
    181,302x = 159,081,322,500
  5. Step 5: Solve for x
    x = 159,081,322,500/181,302
  6. Step 6: Final answer
    x = 877,438.32

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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.