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Finding the Third Proportional to 320,950 and 687,442

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Solution

The third proportional to 320,950 and 687,442 is: 1,472,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,950 : 687,442 = 687,442 : x
  2. Step 2: Convert to fraction form
    320,950/687,442 = 687,442/x
  3. Step 3: Cross multiply
    320,950x = 687,442 × 687,442
  4. Step 4: Simplify right side
    320,950x = 472,576,503,364
  5. Step 5: Solve for x
    x = 472,576,503,364/320,950
  6. Step 6: Final answer
    x = 1,472,430.30

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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.