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Finding the Third Proportional to 38,617 and 90,215

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Solution

The third proportional to 38,617 and 90,215 is: 210,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,617 : 90,215 = 90,215 : x
  2. Step 2: Convert to fraction form
    38,617/90,215 = 90,215/x
  3. Step 3: Cross multiply
    38,617x = 90,215 × 90,215
  4. Step 4: Simplify right side
    38,617x = 8,138,746,225
  5. Step 5: Solve for x
    x = 8,138,746,225/38,617
  6. Step 6: Final answer
    x = 210,755.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.