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Finding the Third Proportional to 237.09 and 309.66

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Solution

The third proportional to 237.09 and 309.66 is: 404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.09 : 309.66 = 309.66 : x
  2. Step 2: Convert to fraction form
    237.09/309.66 = 309.66/x
  3. Step 3: Cross multiply
    237.09x = 309.66 × 309.66
  4. Step 4: Simplify right side
    237.09x = 95,886.99
  5. Step 5: Solve for x
    x = 95,886.99/237.09
  6. Step 6: Final answer
    x = 404.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.