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Finding the Third Proportional to 66.07 and 142.96

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Solution

The third proportional to 66.07 and 142.96 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.07 : 142.96 = 142.96 : x
  2. Step 2: Convert to fraction form
    66.07/142.96 = 142.96/x
  3. Step 3: Cross multiply
    66.07x = 142.96 × 142.96
  4. Step 4: Simplify right side
    66.07x = 20,437.92
  5. Step 5: Solve for x
    x = 20,437.92/66.07
  6. Step 6: Final answer
    x = 309.32

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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.