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Finding the Third Proportional to 381,169.88 and 508,156.88

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Solution

The third proportional to 381,169.88 and 508,156.88 is: 677,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,169.88 : 508,156.88 = 508,156.88 : x
  2. Step 2: Convert to fraction form
    381,169.88/508,156.88 = 508,156.88/x
  3. Step 3: Cross multiply
    381,169.88x = 508,156.88 × 508,156.88
  4. Step 4: Simplify right side
    381,169.88x = 258,223,409,609.77
  5. Step 5: Solve for x
    x = 258,223,409,609.77/381,169.88
  6. Step 6: Final answer
    x = 677,449.68

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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.