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Finding the Third Proportional to 349.55 and 747.69

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Solution

The third proportional to 349.55 and 747.69 is: 1,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.55 : 747.69 = 747.69 : x
  2. Step 2: Convert to fraction form
    349.55/747.69 = 747.69/x
  3. Step 3: Cross multiply
    349.55x = 747.69 × 747.69
  4. Step 4: Simplify right side
    349.55x = 559,036.96
  5. Step 5: Solve for x
    x = 559,036.96/349.55
  6. Step 6: Final answer
    x = 1,599.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.