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Finding the Third Proportional to 38,290 and 54,215

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Solution

The third proportional to 38,290 and 54,215 is: 76,763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,290 : 54,215 = 54,215 : x
  2. Step 2: Convert to fraction form
    38,290/54,215 = 54,215/x
  3. Step 3: Cross multiply
    38,290x = 54,215 × 54,215
  4. Step 4: Simplify right side
    38,290x = 2,939,266,225
  5. Step 5: Solve for x
    x = 2,939,266,225/38,290
  6. Step 6: Final answer
    x = 76,763.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.