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Finding the Third Proportional to 56.74 and 135.95

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Solution

The third proportional to 56.74 and 135.95 is: 325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.74 : 135.95 = 135.95 : x
  2. Step 2: Convert to fraction form
    56.74/135.95 = 135.95/x
  3. Step 3: Cross multiply
    56.74x = 135.95 × 135.95
  4. Step 4: Simplify right side
    56.74x = 18,482.19
  5. Step 5: Solve for x
    x = 18,482.19/56.74
  6. Step 6: Final answer
    x = 325.72

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.