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Finding the Third Proportional to 342.98 and 706.85

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Solution

The third proportional to 342.98 and 706.85 is: 1,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.98 : 706.85 = 706.85 : x
  2. Step 2: Convert to fraction form
    342.98/706.85 = 706.85/x
  3. Step 3: Cross multiply
    342.98x = 706.85 × 706.85
  4. Step 4: Simplify right side
    342.98x = 499,639.13
  5. Step 5: Solve for x
    x = 499,639.13/342.98
  6. Step 6: Final answer
    x = 1,456.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.