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Finding the Third Proportional to 338.78 and 508.17

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Solution

The third proportional to 338.78 and 508.17 is: 762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.78 : 508.17 = 508.17 : x
  2. Step 2: Convert to fraction form
    338.78/508.17 = 508.17/x
  3. Step 3: Cross multiply
    338.78x = 508.17 × 508.17
  4. Step 4: Simplify right side
    338.78x = 258,239.96
  5. Step 5: Solve for x
    x = 258,239.96/338.78
  6. Step 6: Final answer
    x = 762.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.