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Finding the Third Proportional to 274.13 and 423.19

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Solution

The third proportional to 274.13 and 423.19 is: 653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.13 : 423.19 = 423.19 : x
  2. Step 2: Convert to fraction form
    274.13/423.19 = 423.19/x
  3. Step 3: Cross multiply
    274.13x = 423.19 × 423.19
  4. Step 4: Simplify right side
    274.13x = 179,087.66
  5. Step 5: Solve for x
    x = 179,087.66/274.13
  6. Step 6: Final answer
    x = 653.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.