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Finding the Third Proportional to 66.84 and 144.66

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Solution

The third proportional to 66.84 and 144.66 is: 313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.84 : 144.66 = 144.66 : x
  2. Step 2: Convert to fraction form
    66.84/144.66 = 144.66/x
  3. Step 3: Cross multiply
    66.84x = 144.66 × 144.66
  4. Step 4: Simplify right side
    66.84x = 20,925.43
  5. Step 5: Solve for x
    x = 20,925.43/66.84
  6. Step 6: Final answer
    x = 313.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.