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Finding the Third Proportional to 129,340 and 188,986

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Solution

The third proportional to 129,340 and 188,986 is: 276,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,340 : 188,986 = 188,986 : x
  2. Step 2: Convert to fraction form
    129,340/188,986 = 188,986/x
  3. Step 3: Cross multiply
    129,340x = 188,986 × 188,986
  4. Step 4: Simplify right side
    129,340x = 35,715,708,196
  5. Step 5: Solve for x
    x = 35,715,708,196/129,340
  6. Step 6: Final answer
    x = 276,138.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.