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Finding the Third Proportional to 66.34 and 145.44

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Solution

The third proportional to 66.34 and 145.44 is: 318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.34 : 145.44 = 145.44 : x
  2. Step 2: Convert to fraction form
    66.34/145.44 = 145.44/x
  3. Step 3: Cross multiply
    66.34x = 145.44 × 145.44
  4. Step 4: Simplify right side
    66.34x = 21,153.20
  5. Step 5: Solve for x
    x = 21,153.20/66.34
  6. Step 6: Final answer
    x = 318.86

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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.