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Finding the Third Proportional to 315,672.75 and 694,431

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Solution

The third proportional to 315,672.75 and 694,431 is: 1,527,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,672.75 : 694,431 = 694,431 : x
  2. Step 2: Convert to fraction form
    315,672.75/694,431 = 694,431/x
  3. Step 3: Cross multiply
    315,672.75x = 694,431 × 694,431
  4. Step 4: Simplify right side
    315,672.75x = 482,234,413,761
  5. Step 5: Solve for x
    x = 482,234,413,761/315,672.75
  6. Step 6: Final answer
    x = 1,527,640.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.