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Finding the Third Proportional to 87,773.40 and 188,867.42

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Solution

The third proportional to 87,773.40 and 188,867.42 is: 406,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,773.40 : 188,867.42 = 188,867.42 : x
  2. Step 2: Convert to fraction form
    87,773.40/188,867.42 = 188,867.42/x
  3. Step 3: Cross multiply
    87,773.40x = 188,867.42 × 188,867.42
  4. Step 4: Simplify right side
    87,773.40x = 35,670,902,031.28
  5. Step 5: Solve for x
    x = 35,670,902,031.28/87,773.40
  6. Step 6: Final answer
    x = 406,397.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.