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Finding the Third Proportional to 38,920 and 83,357

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Solution

The third proportional to 38,920 and 83,357 is: 178,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,920 : 83,357 = 83,357 : x
  2. Step 2: Convert to fraction form
    38,920/83,357 = 83,357/x
  3. Step 3: Cross multiply
    38,920x = 83,357 × 83,357
  4. Step 4: Simplify right side
    38,920x = 6,948,389,449
  5. Step 5: Solve for x
    x = 6,948,389,449/38,920
  6. Step 6: Final answer
    x = 178,530.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.