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Finding the Third Proportional to 274.91 and 403.34

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Solution

The third proportional to 274.91 and 403.34 is: 591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.91 : 403.34 = 403.34 : x
  2. Step 2: Convert to fraction form
    274.91/403.34 = 403.34/x
  3. Step 3: Cross multiply
    274.91x = 403.34 × 403.34
  4. Step 4: Simplify right side
    274.91x = 162,686.18
  5. Step 5: Solve for x
    x = 162,686.18/274.91
  6. Step 6: Final answer
    x = 591.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.