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Finding the Third Proportional to 371.72 and 558.66

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Solution

The third proportional to 371.72 and 558.66 is: 839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.72 : 558.66 = 558.66 : x
  2. Step 2: Convert to fraction form
    371.72/558.66 = 558.66/x
  3. Step 3: Cross multiply
    371.72x = 558.66 × 558.66
  4. Step 4: Simplify right side
    371.72x = 312,096.81
  5. Step 5: Solve for x
    x = 312,096.81/371.72
  6. Step 6: Final answer
    x = 839.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.