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Finding the Third Proportional to 381,378.38 and 517,954.50

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Solution

The third proportional to 381,378.38 and 517,954.50 is: 703,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,378.38 : 517,954.50 = 517,954.50 : x
  2. Step 2: Convert to fraction form
    381,378.38/517,954.50 = 517,954.50/x
  3. Step 3: Cross multiply
    381,378.38x = 517,954.50 × 517,954.50
  4. Step 4: Simplify right side
    381,378.38x = 268,276,864,070.25
  5. Step 5: Solve for x
    x = 268,276,864,070.25/381,378.38
  6. Step 6: Final answer
    x = 703,440.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.