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Finding the Third Proportional to 343.85 and 707.64

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Solution

The third proportional to 343.85 and 707.64 is: 1,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.85 : 707.64 = 707.64 : x
  2. Step 2: Convert to fraction form
    343.85/707.64 = 707.64/x
  3. Step 3: Cross multiply
    343.85x = 707.64 × 707.64
  4. Step 4: Simplify right side
    343.85x = 500,758.02
  5. Step 5: Solve for x
    x = 500,758.02/343.85
  6. Step 6: Final answer
    x = 1,456.31

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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.