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Finding the Third Proportional to 320,760 and 691,254

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Solution

The third proportional to 320,760 and 691,254 is: 1,489,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,760 : 691,254 = 691,254 : x
  2. Step 2: Convert to fraction form
    320,760/691,254 = 691,254/x
  3. Step 3: Cross multiply
    320,760x = 691,254 × 691,254
  4. Step 4: Simplify right side
    320,760x = 477,832,092,516
  5. Step 5: Solve for x
    x = 477,832,092,516/320,760
  6. Step 6: Final answer
    x = 1,489,687.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.