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Finding the Third Proportional to 83,085.75 and 124,314.75

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Solution

The third proportional to 83,085.75 and 124,314.75 is: 186,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,085.75 : 124,314.75 = 124,314.75 : x
  2. Step 2: Convert to fraction form
    83,085.75/124,314.75 = 124,314.75/x
  3. Step 3: Cross multiply
    83,085.75x = 124,314.75 × 124,314.75
  4. Step 4: Simplify right side
    83,085.75x = 15,454,157,067.56
  5. Step 5: Solve for x
    x = 15,454,157,067.56/83,085.75
  6. Step 6: Final answer
    x = 186,002.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.