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Finding the Third Proportional to 68,103 and 144,397

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Solution

The third proportional to 68,103 and 144,397 is: 306,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,103 : 144,397 = 144,397 : x
  2. Step 2: Convert to fraction form
    68,103/144,397 = 144,397/x
  3. Step 3: Cross multiply
    68,103x = 144,397 × 144,397
  4. Step 4: Simplify right side
    68,103x = 20,850,493,609
  5. Step 5: Solve for x
    x = 20,850,493,609/68,103
  6. Step 6: Final answer
    x = 306,161.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.