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Finding the Third Proportional to 51,842 and 121,397

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Solution

The third proportional to 51,842 and 121,397 is: 284,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842 : 121,397 = 121,397 : x
  2. Step 2: Convert to fraction form
    51,842/121,397 = 121,397/x
  3. Step 3: Cross multiply
    51,842x = 121,397 × 121,397
  4. Step 4: Simplify right side
    51,842x = 14,737,231,609
  5. Step 5: Solve for x
    x = 14,737,231,609/51,842
  6. Step 6: Final answer
    x = 284,272.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.