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Finding the Third Proportional to 315,736 and 676,256

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Solution

The third proportional to 315,736 and 676,256 is: 1,448,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,736 : 676,256 = 676,256 : x
  2. Step 2: Convert to fraction form
    315,736/676,256 = 676,256/x
  3. Step 3: Cross multiply
    315,736x = 676,256 × 676,256
  4. Step 4: Simplify right side
    315,736x = 457,322,177,536
  5. Step 5: Solve for x
    x = 457,322,177,536/315,736
  6. Step 6: Final answer
    x = 1,448,432.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.