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Finding the Third Proportional to 86,447.25 and 131,447.81

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Solution

The third proportional to 86,447.25 and 131,447.81 is: 199,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,447.25 : 131,447.81 = 131,447.81 : x
  2. Step 2: Convert to fraction form
    86,447.25/131,447.81 = 131,447.81/x
  3. Step 3: Cross multiply
    86,447.25x = 131,447.81 × 131,447.81
  4. Step 4: Simplify right side
    86,447.25x = 17,278,527,411.04
  5. Step 5: Solve for x
    x = 17,278,527,411.04/86,447.25
  6. Step 6: Final answer
    x = 199,873.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.