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Finding the Third Proportional to 313,976 and 687,276

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Solution

The third proportional to 313,976 and 687,276 is: 1,504,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,976 : 687,276 = 687,276 : x
  2. Step 2: Convert to fraction form
    313,976/687,276 = 687,276/x
  3. Step 3: Cross multiply
    313,976x = 687,276 × 687,276
  4. Step 4: Simplify right side
    313,976x = 472,348,300,176
  5. Step 5: Solve for x
    x = 472,348,300,176/313,976
  6. Step 6: Final answer
    x = 1,504,408.94

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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.