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Finding the Third Proportional to 129,188 and 278,164

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Solution

The third proportional to 129,188 and 278,164 is: 598,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,188 : 278,164 = 278,164 : x
  2. Step 2: Convert to fraction form
    129,188/278,164 = 278,164/x
  3. Step 3: Cross multiply
    129,188x = 278,164 × 278,164
  4. Step 4: Simplify right side
    129,188x = 77,375,210,896
  5. Step 5: Solve for x
    x = 77,375,210,896/129,188
  6. Step 6: Final answer
    x = 598,934.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.