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Finding the Third Proportional to 343.13 and 514.88

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Solution

The third proportional to 343.13 and 514.88 is: 772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.13 : 514.88 = 514.88 : x
  2. Step 2: Convert to fraction form
    343.13/514.88 = 514.88/x
  3. Step 3: Cross multiply
    343.13x = 514.88 × 514.88
  4. Step 4: Simplify right side
    343.13x = 265,096.27
  5. Step 5: Solve for x
    x = 265,096.27/343.13
  6. Step 6: Final answer
    x = 772.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.