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Finding the Third Proportional to 343.85 and 756.05

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Solution

The third proportional to 343.85 and 756.05 is: 1,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.85 : 756.05 = 756.05 : x
  2. Step 2: Convert to fraction form
    343.85/756.05 = 756.05/x
  3. Step 3: Cross multiply
    343.85x = 756.05 × 756.05
  4. Step 4: Simplify right side
    343.85x = 571,615.74
  5. Step 5: Solve for x
    x = 571,615.74/343.85
  6. Step 6: Final answer
    x = 1,662.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.