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Finding the Third Proportional to 138,776 and 327,491

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Solution

The third proportional to 138,776 and 327,491 is: 772,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,776 : 327,491 = 327,491 : x
  2. Step 2: Convert to fraction form
    138,776/327,491 = 327,491/x
  3. Step 3: Cross multiply
    138,776x = 327,491 × 327,491
  4. Step 4: Simplify right side
    138,776x = 107,250,355,081
  5. Step 5: Solve for x
    x = 107,250,355,081/138,776
  6. Step 6: Final answer
    x = 772,830.71

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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.