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Finding the Third Proportional to 381,204 and 559,074

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Solution

The third proportional to 381,204 and 559,074 is: 819,938.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,204 : 559,074 = 559,074 : x
  2. Step 2: Convert to fraction form
    381,204/559,074 = 559,074/x
  3. Step 3: Cross multiply
    381,204x = 559,074 × 559,074
  4. Step 4: Simplify right side
    381,204x = 312,563,737,476
  5. Step 5: Solve for x
    x = 312,563,737,476/381,204
  6. Step 6: Final answer
    x = 819,938.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.