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Finding the Third Proportional to 66.87 and 145.76

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Solution

The third proportional to 66.87 and 145.76 is: 317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.87 : 145.76 = 145.76 : x
  2. Step 2: Convert to fraction form
    66.87/145.76 = 145.76/x
  3. Step 3: Cross multiply
    66.87x = 145.76 × 145.76
  4. Step 4: Simplify right side
    66.87x = 21,245.34
  5. Step 5: Solve for x
    x = 21,245.34/66.87
  6. Step 6: Final answer
    x = 317.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.