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Finding the Third Proportional to 135.50 and 317.38

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Solution

The third proportional to 135.50 and 317.38 is: 743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.50 : 317.38 = 317.38 : x
  2. Step 2: Convert to fraction form
    135.50/317.38 = 317.38/x
  3. Step 3: Cross multiply
    135.50x = 317.38 × 317.38
  4. Step 4: Simplify right side
    135.50x = 100,726.89
  5. Step 5: Solve for x
    x = 100,726.89/135.50
  6. Step 6: Final answer
    x = 743.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.