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Finding the Third Proportional to 38,138 and 78,920

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Solution

The third proportional to 38,138 and 78,920 is: 163,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,138 : 78,920 = 78,920 : x
  2. Step 2: Convert to fraction form
    38,138/78,920 = 78,920/x
  3. Step 3: Cross multiply
    38,138x = 78,920 × 78,920
  4. Step 4: Simplify right side
    38,138x = 6,228,366,400
  5. Step 5: Solve for x
    x = 6,228,366,400/38,138
  6. Step 6: Final answer
    x = 163,311.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.