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Finding the Third Proportional to 343.14 and 493.12

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Solution

The third proportional to 343.14 and 493.12 is: 708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.14 : 493.12 = 493.12 : x
  2. Step 2: Convert to fraction form
    343.14/493.12 = 493.12/x
  3. Step 3: Cross multiply
    343.14x = 493.12 × 493.12
  4. Step 4: Simplify right side
    343.14x = 243,166.49
  5. Step 5: Solve for x
    x = 243,166.49/343.14
  6. Step 6: Final answer
    x = 708.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.