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Finding the Third Proportional to 138,762 and 327,457

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Solution

The third proportional to 138,762 and 327,457 is: 772,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,762 : 327,457 = 327,457 : x
  2. Step 2: Convert to fraction form
    138,762/327,457 = 327,457/x
  3. Step 3: Cross multiply
    138,762x = 327,457 × 327,457
  4. Step 4: Simplify right side
    138,762x = 107,228,086,849
  5. Step 5: Solve for x
    x = 107,228,086,849/138,762
  6. Step 6: Final answer
    x = 772,748.21

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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.