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Finding the Third Proportional to 320,904 and 687,350

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Solution

The third proportional to 320,904 and 687,350 is: 1,472,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,904 : 687,350 = 687,350 : x
  2. Step 2: Convert to fraction form
    320,904/687,350 = 687,350/x
  3. Step 3: Cross multiply
    320,904x = 687,350 × 687,350
  4. Step 4: Simplify right side
    320,904x = 472,450,022,500
  5. Step 5: Solve for x
    x = 472,450,022,500/320,904
  6. Step 6: Final answer
    x = 1,472,247.22

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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.