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Finding the Third Proportional to 349.31 and 552.66

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Solution

The third proportional to 349.31 and 552.66 is: 874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.31 : 552.66 = 552.66 : x
  2. Step 2: Convert to fraction form
    349.31/552.66 = 552.66/x
  3. Step 3: Cross multiply
    349.31x = 552.66 × 552.66
  4. Step 4: Simplify right side
    349.31x = 305,428.93
  5. Step 5: Solve for x
    x = 305,428.93/349.31
  6. Step 6: Final answer
    x = 874.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.