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Finding the Third Proportional to 138,774 and 327,486

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Solution

The third proportional to 138,774 and 327,486 is: 772,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,774 : 327,486 = 327,486 : x
  2. Step 2: Convert to fraction form
    138,774/327,486 = 327,486/x
  3. Step 3: Cross multiply
    138,774x = 327,486 × 327,486
  4. Step 4: Simplify right side
    138,774x = 107,247,080,196
  5. Step 5: Solve for x
    x = 107,247,080,196/138,774
  6. Step 6: Final answer
    x = 772,818.25

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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.