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Finding the Third Proportional to 239.38 and 370.19

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Solution

The third proportional to 239.38 and 370.19 is: 572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.38 : 370.19 = 370.19 : x
  2. Step 2: Convert to fraction form
    239.38/370.19 = 370.19/x
  3. Step 3: Cross multiply
    239.38x = 370.19 × 370.19
  4. Step 4: Simplify right side
    239.38x = 137,038.79
  5. Step 5: Solve for x
    x = 137,038.79/239.38
  6. Step 6: Final answer
    x = 572.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.