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Finding the Third Proportional to 291,605 and 638,074

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Solution

The third proportional to 291,605 and 638,074 is: 1,396,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,605 : 638,074 = 638,074 : x
  2. Step 2: Convert to fraction form
    291,605/638,074 = 638,074/x
  3. Step 3: Cross multiply
    291,605x = 638,074 × 638,074
  4. Step 4: Simplify right side
    291,605x = 407,138,429,476
  5. Step 5: Solve for x
    x = 407,138,429,476/291,605
  6. Step 6: Final answer
    x = 1,396,198.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.