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Finding the Third Proportional to 274.01 and 425.88

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Solution

The third proportional to 274.01 and 425.88 is: 661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.01 : 425.88 = 425.88 : x
  2. Step 2: Convert to fraction form
    274.01/425.88 = 425.88/x
  3. Step 3: Cross multiply
    274.01x = 425.88 × 425.88
  4. Step 4: Simplify right side
    274.01x = 181,376.17
  5. Step 5: Solve for x
    x = 181,376.17/274.01
  6. Step 6: Final answer
    x = 661.94

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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.