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Finding the Third Proportional to 38,418 and 83,842

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Solution

The third proportional to 38,418 and 83,842 is: 182,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,418 : 83,842 = 83,842 : x
  2. Step 2: Convert to fraction form
    38,418/83,842 = 83,842/x
  3. Step 3: Cross multiply
    38,418x = 83,842 × 83,842
  4. Step 4: Simplify right side
    38,418x = 7,029,480,964
  5. Step 5: Solve for x
    x = 7,029,480,964/38,418
  6. Step 6: Final answer
    x = 182,973.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.