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Finding the Third Proportional to 38,380 and 90,471

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Solution

The third proportional to 38,380 and 90,471 is: 213,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,380 : 90,471 = 90,471 : x
  2. Step 2: Convert to fraction form
    38,380/90,471 = 90,471/x
  3. Step 3: Cross multiply
    38,380x = 90,471 × 90,471
  4. Step 4: Simplify right side
    38,380x = 8,185,001,841
  5. Step 5: Solve for x
    x = 8,185,001,841/38,380
  6. Step 6: Final answer
    x = 213,262.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.