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Finding the Third Proportional to 37,890 and 80,397

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Solution

The third proportional to 37,890 and 80,397 is: 170,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,890 : 80,397 = 80,397 : x
  2. Step 2: Convert to fraction form
    37,890/80,397 = 80,397/x
  3. Step 3: Cross multiply
    37,890x = 80,397 × 80,397
  4. Step 4: Simplify right side
    37,890x = 6,463,677,609
  5. Step 5: Solve for x
    x = 6,463,677,609/37,890
  6. Step 6: Final answer
    x = 170,590.59

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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.