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Finding the Third Proportional to 320,105.25 and 479,327.63

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Solution

The third proportional to 320,105.25 and 479,327.63 is: 717,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,105.25 : 479,327.63 = 479,327.63 : x
  2. Step 2: Convert to fraction form
    320,105.25/479,327.63 = 479,327.63/x
  3. Step 3: Cross multiply
    320,105.25x = 479,327.63 × 479,327.63
  4. Step 4: Simplify right side
    320,105.25x = 229,754,972,088.14
  5. Step 5: Solve for x
    x = 229,754,972,088.14/320,105.25
  6. Step 6: Final answer
    x = 717,748.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.