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Finding the Third Proportional to 207,279 and 320,080.50

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Solution

The third proportional to 207,279 and 320,080.50 is: 494,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,279 : 320,080.50 = 320,080.50 : x
  2. Step 2: Convert to fraction form
    207,279/320,080.50 = 320,080.50/x
  3. Step 3: Cross multiply
    207,279x = 320,080.50 × 320,080.50
  4. Step 4: Simplify right side
    207,279x = 102,451,526,480.25
  5. Step 5: Solve for x
    x = 102,451,526,480.25/207,279
  6. Step 6: Final answer
    x = 494,268.72

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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.