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Finding the Third Proportional to 315,435 and 691,941

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Solution

The third proportional to 315,435 and 691,941 is: 1,517,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,435 : 691,941 = 691,941 : x
  2. Step 2: Convert to fraction form
    315,435/691,941 = 691,941/x
  3. Step 3: Cross multiply
    315,435x = 691,941 × 691,941
  4. Step 4: Simplify right side
    315,435x = 478,782,347,481
  5. Step 5: Solve for x
    x = 478,782,347,481/315,435
  6. Step 6: Final answer
    x = 1,517,847.88

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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.