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Finding the Third Proportional to 381,374 and 517,953

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Solution

The third proportional to 381,374 and 517,953 is: 703,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,374 : 517,953 = 517,953 : x
  2. Step 2: Convert to fraction form
    381,374/517,953 = 517,953/x
  3. Step 3: Cross multiply
    381,374x = 517,953 × 517,953
  4. Step 4: Simplify right side
    381,374x = 268,275,310,209
  5. Step 5: Solve for x
    x = 268,275,310,209/381,374
  6. Step 6: Final answer
    x = 703,444.15

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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.