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Finding the Third Proportional to 38,178.50 and 82,210

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Solution

The third proportional to 38,178.50 and 82,210 is: 177,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,178.50 : 82,210 = 82,210 : x
  2. Step 2: Convert to fraction form
    38,178.50/82,210 = 82,210/x
  3. Step 3: Cross multiply
    38,178.50x = 82,210 × 82,210
  4. Step 4: Simplify right side
    38,178.50x = 6,758,484,100
  5. Step 5: Solve for x
    x = 6,758,484,100/38,178.50
  6. Step 6: Final answer
    x = 177,023.30

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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.