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Finding the Third Proportional to 397.13 and 558

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Solution

The third proportional to 397.13 and 558 is: 784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.13 : 558 = 558 : x
  2. Step 2: Convert to fraction form
    397.13/558 = 558/x
  3. Step 3: Cross multiply
    397.13x = 558 × 558
  4. Step 4: Simplify right side
    397.13x = 311,364
  5. Step 5: Solve for x
    x = 311,364/397.13
  6. Step 6: Final answer
    x = 784.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.