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Finding the Third Proportional to 320,906.25 and 687,354.75

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Solution

The third proportional to 320,906.25 and 687,354.75 is: 1,472,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,906.25 : 687,354.75 = 687,354.75 : x
  2. Step 2: Convert to fraction form
    320,906.25/687,354.75 = 687,354.75/x
  3. Step 3: Cross multiply
    320,906.25x = 687,354.75 × 687,354.75
  4. Step 4: Simplify right side
    320,906.25x = 472,456,552,347.56
  5. Step 5: Solve for x
    x = 472,456,552,347.56/320,906.25
  6. Step 6: Final answer
    x = 1,472,257.25

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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.