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Finding the Third Proportional to 38,700 and 90,486

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Solution

The third proportional to 38,700 and 90,486 is: 211,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,700 : 90,486 = 90,486 : x
  2. Step 2: Convert to fraction form
    38,700/90,486 = 90,486/x
  3. Step 3: Cross multiply
    38,700x = 90,486 × 90,486
  4. Step 4: Simplify right side
    38,700x = 8,187,716,196
  5. Step 5: Solve for x
    x = 8,187,716,196/38,700
  6. Step 6: Final answer
    x = 211,568.89

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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.