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Finding the Third Proportional to 181,580 and 398,992

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Solution

The third proportional to 181,580 and 398,992 is: 876,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,580 : 398,992 = 398,992 : x
  2. Step 2: Convert to fraction form
    181,580/398,992 = 398,992/x
  3. Step 3: Cross multiply
    181,580x = 398,992 × 398,992
  4. Step 4: Simplify right side
    181,580x = 159,194,616,064
  5. Step 5: Solve for x
    x = 159,194,616,064/181,580
  6. Step 6: Final answer
    x = 876,718.89

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