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Finding the Third Proportional to 138,765 and 327,400.50

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Solution

The third proportional to 138,765 and 327,400.50 is: 772,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,765 : 327,400.50 = 327,400.50 : x
  2. Step 2: Convert to fraction form
    138,765/327,400.50 = 327,400.50/x
  3. Step 3: Cross multiply
    138,765x = 327,400.50 × 327,400.50
  4. Step 4: Simplify right side
    138,765x = 107,191,087,400.25
  5. Step 5: Solve for x
    x = 107,191,087,400.25/138,765
  6. Step 6: Final answer
    x = 772,464.87

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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.