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Finding the Third Proportional to 320,879.50 and 493,257

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Solution

The third proportional to 320,879.50 and 493,257 is: 758,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,879.50 : 493,257 = 493,257 : x
  2. Step 2: Convert to fraction form
    320,879.50/493,257 = 493,257/x
  3. Step 3: Cross multiply
    320,879.50x = 493,257 × 493,257
  4. Step 4: Simplify right side
    320,879.50x = 243,302,468,049
  5. Step 5: Solve for x
    x = 243,302,468,049/320,879.50
  6. Step 6: Final answer
    x = 758,236.25

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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.