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Finding the Third Proportional to 82,529.75 and 121,448

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Solution

The third proportional to 82,529.75 and 121,448 is: 178,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,529.75 : 121,448 = 121,448 : x
  2. Step 2: Convert to fraction form
    82,529.75/121,448 = 121,448/x
  3. Step 3: Cross multiply
    82,529.75x = 121,448 × 121,448
  4. Step 4: Simplify right side
    82,529.75x = 14,749,616,704
  5. Step 5: Solve for x
    x = 14,749,616,704/82,529.75
  6. Step 6: Final answer
    x = 178,718.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.