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Finding the Third Proportional to 135.74 and 297.11

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Solution

The third proportional to 135.74 and 297.11 is: 650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.74 : 297.11 = 297.11 : x
  2. Step 2: Convert to fraction form
    135.74/297.11 = 297.11/x
  3. Step 3: Cross multiply
    135.74x = 297.11 × 297.11
  4. Step 4: Simplify right side
    135.74x = 88,271.66
  5. Step 5: Solve for x
    x = 88,271.66/135.74
  6. Step 6: Final answer
    x = 650.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.