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Finding the Third Proportional to 129,159 and 278,108

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Solution

The third proportional to 129,159 and 278,108 is: 598,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,159 : 278,108 = 278,108 : x
  2. Step 2: Convert to fraction form
    129,159/278,108 = 278,108/x
  3. Step 3: Cross multiply
    129,159x = 278,108 × 278,108
  4. Step 4: Simplify right side
    129,159x = 77,344,059,664
  5. Step 5: Solve for x
    x = 77,344,059,664/129,159
  6. Step 6: Final answer
    x = 598,828.26

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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.