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Finding the Third Proportional to 150.84 and 212.53

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Solution

The third proportional to 150.84 and 212.53 is: 299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.84 : 212.53 = 212.53 : x
  2. Step 2: Convert to fraction form
    150.84/212.53 = 212.53/x
  3. Step 3: Cross multiply
    150.84x = 212.53 × 212.53
  4. Step 4: Simplify right side
    150.84x = 45,169.53
  5. Step 5: Solve for x
    x = 45,169.53/150.84
  6. Step 6: Final answer
    x = 299.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.