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Finding the Third Proportional to 272.88 and 509.13

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Solution

The third proportional to 272.88 and 509.13 is: 949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.88 : 509.13 = 509.13 : x
  2. Step 2: Convert to fraction form
    272.88/509.13 = 509.13/x
  3. Step 3: Cross multiply
    272.88x = 509.13 × 509.13
  4. Step 4: Simplify right side
    272.88x = 259,208.27
  5. Step 5: Solve for x
    x = 259,208.27/272.88
  6. Step 6: Final answer
    x = 949.92

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.