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Finding the Third Proportional to 129,115 and 283,151

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Solution

The third proportional to 129,115 and 283,151 is: 620,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,115 : 283,151 = 283,151 : x
  2. Step 2: Convert to fraction form
    129,115/283,151 = 283,151/x
  3. Step 3: Cross multiply
    129,115x = 283,151 × 283,151
  4. Step 4: Simplify right side
    129,115x = 80,174,488,801
  5. Step 5: Solve for x
    x = 80,174,488,801/129,115
  6. Step 6: Final answer
    x = 620,954.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.