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Finding the Third Proportional to 309.91 and 645.52

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Solution

The third proportional to 309.91 and 645.52 is: 1,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.91 : 645.52 = 645.52 : x
  2. Step 2: Convert to fraction form
    309.91/645.52 = 645.52/x
  3. Step 3: Cross multiply
    309.91x = 645.52 × 645.52
  4. Step 4: Simplify right side
    309.91x = 416,690.42
  5. Step 5: Solve for x
    x = 416,690.42/309.91
  6. Step 6: Final answer
    x = 1,344.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.