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Finding the Third Proportional to 309.72 and 485.13

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Solution

The third proportional to 309.72 and 485.13 is: 759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.72 : 485.13 = 485.13 : x
  2. Step 2: Convert to fraction form
    309.72/485.13 = 485.13/x
  3. Step 3: Cross multiply
    309.72x = 485.13 × 485.13
  4. Step 4: Simplify right side
    309.72x = 235,346.27
  5. Step 5: Solve for x
    x = 235,346.27/309.72
  6. Step 6: Final answer
    x = 759.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.