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Finding the Third Proportional to 336.69 and 493.94

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Solution

The third proportional to 336.69 and 493.94 is: 724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.69 : 493.94 = 493.94 : x
  2. Step 2: Convert to fraction form
    336.69/493.94 = 493.94/x
  3. Step 3: Cross multiply
    336.69x = 493.94 × 493.94
  4. Step 4: Simplify right side
    336.69x = 243,974.25
  5. Step 5: Solve for x
    x = 243,974.25/336.69
  6. Step 6: Final answer
    x = 724.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.