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Finding the Third Proportional to 412,860 and 638,074

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Solution

The third proportional to 412,860 and 638,074 is: 986,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,860 : 638,074 = 638,074 : x
  2. Step 2: Convert to fraction form
    412,860/638,074 = 638,074/x
  3. Step 3: Cross multiply
    412,860x = 638,074 × 638,074
  4. Step 4: Simplify right side
    412,860x = 407,138,429,476
  5. Step 5: Solve for x
    x = 407,138,429,476/412,860
  6. Step 6: Final answer
    x = 986,141.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.