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Finding the Third Proportional to 38,384 and 90,479

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Solution

The third proportional to 38,384 and 90,479 is: 213,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,384 : 90,479 = 90,479 : x
  2. Step 2: Convert to fraction form
    38,384/90,479 = 90,479/x
  3. Step 3: Cross multiply
    38,384x = 90,479 × 90,479
  4. Step 4: Simplify right side
    38,384x = 8,186,449,441
  5. Step 5: Solve for x
    x = 8,186,449,441/38,384
  6. Step 6: Final answer
    x = 213,277.65

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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.