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Finding the Third Proportional to 40,281 and 87,486

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Solution

The third proportional to 40,281 and 87,486 is: 190,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,281 : 87,486 = 87,486 : x
  2. Step 2: Convert to fraction form
    40,281/87,486 = 87,486/x
  3. Step 3: Cross multiply
    40,281x = 87,486 × 87,486
  4. Step 4: Simplify right side
    40,281x = 7,653,800,196
  5. Step 5: Solve for x
    x = 7,653,800,196/40,281
  6. Step 6: Final answer
    x = 190,010.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.