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Finding the Third Proportional to 348.65 and 539.85

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Solution

The third proportional to 348.65 and 539.85 is: 835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.65 : 539.85 = 539.85 : x
  2. Step 2: Convert to fraction form
    348.65/539.85 = 539.85/x
  3. Step 3: Cross multiply
    348.65x = 539.85 × 539.85
  4. Step 4: Simplify right side
    348.65x = 291,439.71
  5. Step 5: Solve for x
    x = 291,439.71/348.65
  6. Step 6: Final answer
    x = 835.91

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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.