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Finding the Third Proportional to 181,561 and 398,960

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Solution

The third proportional to 181,561 and 398,960 is: 876,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,561 : 398,960 = 398,960 : x
  2. Step 2: Convert to fraction form
    181,561/398,960 = 398,960/x
  3. Step 3: Cross multiply
    181,561x = 398,960 × 398,960
  4. Step 4: Simplify right side
    181,561x = 159,169,081,600
  5. Step 5: Solve for x
    x = 159,169,081,600/181,561
  6. Step 6: Final answer
    x = 876,670.00

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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.