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Finding the Third Proportional to 343.65 and 670.11

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Solution

The third proportional to 343.65 and 670.11 is: 1,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.65 : 670.11 = 670.11 : x
  2. Step 2: Convert to fraction form
    343.65/670.11 = 670.11/x
  3. Step 3: Cross multiply
    343.65x = 670.11 × 670.11
  4. Step 4: Simplify right side
    343.65x = 449,051.81
  5. Step 5: Solve for x
    x = 449,051.81/343.65
  6. Step 6: Final answer
    x = 1,306.70

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.