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Finding the Third Proportional to 343.75 and 699.56

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Solution

The third proportional to 343.75 and 699.56 is: 1,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.75 : 699.56 = 699.56 : x
  2. Step 2: Convert to fraction form
    343.75/699.56 = 699.56/x
  3. Step 3: Cross multiply
    343.75x = 699.56 × 699.56
  4. Step 4: Simplify right side
    343.75x = 489,387.69
  5. Step 5: Solve for x
    x = 489,387.69/343.75
  6. Step 6: Final answer
    x = 1,423.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.