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Finding the Third Proportional to 272.53 and 439.80

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Solution

The third proportional to 272.53 and 439.80 is: 709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.53 : 439.80 = 439.80 : x
  2. Step 2: Convert to fraction form
    272.53/439.80 = 439.80/x
  3. Step 3: Cross multiply
    272.53x = 439.80 × 439.80
  4. Step 4: Simplify right side
    272.53x = 193,428.16
  5. Step 5: Solve for x
    x = 193,428.16/272.53
  6. Step 6: Final answer
    x = 709.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.