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Finding the Third Proportional to 381,168.50 and 508,155.75

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Solution

The third proportional to 381,168.50 and 508,155.75 is: 677,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,168.50 : 508,155.75 = 508,155.75 : x
  2. Step 2: Convert to fraction form
    381,168.50/508,155.75 = 508,155.75/x
  3. Step 3: Cross multiply
    381,168.50x = 508,155.75 × 508,155.75
  4. Step 4: Simplify right side
    381,168.50x = 258,222,266,258.06
  5. Step 5: Solve for x
    x = 258,222,266,258.06/381,168.50
  6. Step 6: Final answer
    x = 677,449.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.