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Finding the Third Proportional to 313,904 and 687,132

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Solution

The third proportional to 313,904 and 687,132 is: 1,504,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,904 : 687,132 = 687,132 : x
  2. Step 2: Convert to fraction form
    313,904/687,132 = 687,132/x
  3. Step 3: Cross multiply
    313,904x = 687,132 × 687,132
  4. Step 4: Simplify right side
    313,904x = 472,150,385,424
  5. Step 5: Solve for x
    x = 472,150,385,424/313,904
  6. Step 6: Final answer
    x = 1,504,123.51

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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.