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Finding the Third Proportional to 349.95 and 514.79

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Solution

The third proportional to 349.95 and 514.79 is: 757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.95 : 514.79 = 514.79 : x
  2. Step 2: Convert to fraction form
    349.95/514.79 = 514.79/x
  3. Step 3: Cross multiply
    349.95x = 514.79 × 514.79
  4. Step 4: Simplify right side
    349.95x = 265,011.80
  5. Step 5: Solve for x
    x = 265,011.80/349.95
  6. Step 6: Final answer
    x = 757.29

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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.