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Finding the Third Proportional to 38,705 and 78,474

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Solution

The third proportional to 38,705 and 78,474 is: 159,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,705 : 78,474 = 78,474 : x
  2. Step 2: Convert to fraction form
    38,705/78,474 = 78,474/x
  3. Step 3: Cross multiply
    38,705x = 78,474 × 78,474
  4. Step 4: Simplify right side
    38,705x = 6,158,168,676
  5. Step 5: Solve for x
    x = 6,158,168,676/38,705
  6. Step 6: Final answer
    x = 159,105.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.