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Finding the Third Proportional to 135.66 and 264.47

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Solution

The third proportional to 135.66 and 264.47 is: 515.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.66 : 264.47 = 264.47 : x
  2. Step 2: Convert to fraction form
    135.66/264.47 = 264.47/x
  3. Step 3: Cross multiply
    135.66x = 264.47 × 264.47
  4. Step 4: Simplify right side
    135.66x = 69,943.72
  5. Step 5: Solve for x
    x = 69,943.72/135.66
  6. Step 6: Final answer
    x = 515.60

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.