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Finding the Third Proportional to 181,570 and 398,972

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Solution

The third proportional to 181,570 and 398,972 is: 876,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,570 : 398,972 = 398,972 : x
  2. Step 2: Convert to fraction form
    181,570/398,972 = 398,972/x
  3. Step 3: Cross multiply
    181,570x = 398,972 × 398,972
  4. Step 4: Simplify right side
    181,570x = 159,178,656,784
  5. Step 5: Solve for x
    x = 159,178,656,784/181,570
  6. Step 6: Final answer
    x = 876,679.28

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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.