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Finding the Third Proportional to 84,518 and 129,922

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Solution

The third proportional to 84,518 and 129,922 is: 199,717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,518 : 129,922 = 129,922 : x
  2. Step 2: Convert to fraction form
    84,518/129,922 = 129,922/x
  3. Step 3: Cross multiply
    84,518x = 129,922 × 129,922
  4. Step 4: Simplify right side
    84,518x = 16,879,726,084
  5. Step 5: Solve for x
    x = 16,879,726,084/84,518
  6. Step 6: Final answer
    x = 199,717.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.