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Finding the Third Proportional to 237.07 and 391.55

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Solution

The third proportional to 237.07 and 391.55 is: 646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.07 : 391.55 = 391.55 : x
  2. Step 2: Convert to fraction form
    237.07/391.55 = 391.55/x
  3. Step 3: Cross multiply
    237.07x = 391.55 × 391.55
  4. Step 4: Simplify right side
    237.07x = 153,313.54
  5. Step 5: Solve for x
    x = 153,313.54/237.07
  6. Step 6: Final answer
    x = 646.71

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.