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Finding the Third Proportional to 87,585.75 and 121,329.75

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Solution

The third proportional to 87,585.75 and 121,329.75 is: 168,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,585.75 : 121,329.75 = 121,329.75 : x
  2. Step 2: Convert to fraction form
    87,585.75/121,329.75 = 121,329.75/x
  3. Step 3: Cross multiply
    87,585.75x = 121,329.75 × 121,329.75
  4. Step 4: Simplify right side
    87,585.75x = 14,720,908,235.06
  5. Step 5: Solve for x
    x = 14,720,908,235.06/87,585.75
  6. Step 6: Final answer
    x = 168,074.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.