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Finding the Third Proportional to 252,945 and 381,078

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Solution

The third proportional to 252,945 and 381,078 is: 574,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,945 : 381,078 = 381,078 : x
  2. Step 2: Convert to fraction form
    252,945/381,078 = 381,078/x
  3. Step 3: Cross multiply
    252,945x = 381,078 × 381,078
  4. Step 4: Simplify right side
    252,945x = 145,220,442,084
  5. Step 5: Solve for x
    x = 145,220,442,084/252,945
  6. Step 6: Final answer
    x = 574,118.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.