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Finding the Third Proportional to 320,108 and 687,660

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Solution

The third proportional to 320,108 and 687,660 is: 1,477,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,108 : 687,660 = 687,660 : x
  2. Step 2: Convert to fraction form
    320,108/687,660 = 687,660/x
  3. Step 3: Cross multiply
    320,108x = 687,660 × 687,660
  4. Step 4: Simplify right side
    320,108x = 472,876,275,600
  5. Step 5: Solve for x
    x = 472,876,275,600/320,108
  6. Step 6: Final answer
    x = 1,477,239.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.