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Finding the Third Proportional to 320,886 and 493,269

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Solution

The third proportional to 320,886 and 493,269 is: 758,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,886 : 493,269 = 493,269 : x
  2. Step 2: Convert to fraction form
    320,886/493,269 = 493,269/x
  3. Step 3: Cross multiply
    320,886x = 493,269 × 493,269
  4. Step 4: Simplify right side
    320,886x = 243,314,306,361
  5. Step 5: Solve for x
    x = 243,314,306,361/320,886
  6. Step 6: Final answer
    x = 758,257.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.