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Finding the Third Proportional to 349.63 and 489.13

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Solution

The third proportional to 349.63 and 489.13 is: 684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.63 : 489.13 = 489.13 : x
  2. Step 2: Convert to fraction form
    349.63/489.13 = 489.13/x
  3. Step 3: Cross multiply
    349.63x = 489.13 × 489.13
  4. Step 4: Simplify right side
    349.63x = 239,243.27
  5. Step 5: Solve for x
    x = 239,243.27/349.63
  6. Step 6: Final answer
    x = 684.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.