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Finding the Third Proportional to 439.03 and 803.53

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Solution

The third proportional to 439.03 and 803.53 is: 1,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.03 : 803.53 = 803.53 : x
  2. Step 2: Convert to fraction form
    439.03/803.53 = 803.53/x
  3. Step 3: Cross multiply
    439.03x = 803.53 × 803.53
  4. Step 4: Simplify right side
    439.03x = 645,662.47
  5. Step 5: Solve for x
    x = 645,662.47/439.03
  6. Step 6: Final answer
    x = 1,470.65

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.