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Finding the Third Proportional to 40,995 and 85,486

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Solution

The third proportional to 40,995 and 85,486 is: 178,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,995 : 85,486 = 85,486 : x
  2. Step 2: Convert to fraction form
    40,995/85,486 = 85,486/x
  3. Step 3: Cross multiply
    40,995x = 85,486 × 85,486
  4. Step 4: Simplify right side
    40,995x = 7,307,856,196
  5. Step 5: Solve for x
    x = 7,307,856,196/40,995
  6. Step 6: Final answer
    x = 178,262.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.