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Finding the Third Proportional to 397.13 and 589.22

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Solution

The third proportional to 397.13 and 589.22 is: 874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.13 : 589.22 = 589.22 : x
  2. Step 2: Convert to fraction form
    397.13/589.22 = 589.22/x
  3. Step 3: Cross multiply
    397.13x = 589.22 × 589.22
  4. Step 4: Simplify right side
    397.13x = 347,178.74
  5. Step 5: Solve for x
    x = 347,178.74/397.13
  6. Step 6: Final answer
    x = 874.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.