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Finding the Third Proportional to 21,842 and 51,341

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Solution

The third proportional to 21,842 and 51,341 is: 120,680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842 : 51,341 = 51,341 : x
  2. Step 2: Convert to fraction form
    21,842/51,341 = 51,341/x
  3. Step 3: Cross multiply
    21,842x = 51,341 × 51,341
  4. Step 4: Simplify right side
    21,842x = 2,635,898,281
  5. Step 5: Solve for x
    x = 2,635,898,281/21,842
  6. Step 6: Final answer
    x = 120,680.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.