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Finding the Third Proportional to 38,858 and 83,377

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Solution

The third proportional to 38,858 and 83,377 is: 178,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,858 : 83,377 = 83,377 : x
  2. Step 2: Convert to fraction form
    38,858/83,377 = 83,377/x
  3. Step 3: Cross multiply
    38,858x = 83,377 × 83,377
  4. Step 4: Simplify right side
    38,858x = 6,951,724,129
  5. Step 5: Solve for x
    x = 6,951,724,129/38,858
  6. Step 6: Final answer
    x = 178,900.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.