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Finding the Third Proportional to 86,781.38 and 131,260.50

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Solution

The third proportional to 86,781.38 and 131,260.50 is: 198,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,781.38 : 131,260.50 = 131,260.50 : x
  2. Step 2: Convert to fraction form
    86,781.38/131,260.50 = 131,260.50/x
  3. Step 3: Cross multiply
    86,781.38x = 131,260.50 × 131,260.50
  4. Step 4: Simplify right side
    86,781.38x = 17,229,318,860.25
  5. Step 5: Solve for x
    x = 17,229,318,860.25/86,781.38
  6. Step 6: Final answer
    x = 198,537.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.