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Finding the Third Proportional to 181,565 and 398,965

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Solution

The third proportional to 181,565 and 398,965 is: 876,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,565 : 398,965 = 398,965 : x
  2. Step 2: Convert to fraction form
    181,565/398,965 = 398,965/x
  3. Step 3: Cross multiply
    181,565x = 398,965 × 398,965
  4. Step 4: Simplify right side
    181,565x = 159,173,071,225
  5. Step 5: Solve for x
    x = 159,173,071,225/181,565
  6. Step 6: Final answer
    x = 876,672.66

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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.