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Finding the Third Proportional to 150.75 and 215.02

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Solution

The third proportional to 150.75 and 215.02 is: 306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 215.02 = 215.02 : x
  2. Step 2: Convert to fraction form
    150.75/215.02 = 215.02/x
  3. Step 3: Cross multiply
    150.75x = 215.02 × 215.02
  4. Step 4: Simplify right side
    150.75x = 46,231.72
  5. Step 5: Solve for x
    x = 46,231.72/150.75
  6. Step 6: Final answer
    x = 306.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.