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Finding the Third Proportional to 133.81 and 212.06

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Solution

The third proportional to 133.81 and 212.06 is: 336.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.81 : 212.06 = 212.06 : x
  2. Step 2: Convert to fraction form
    133.81/212.06 = 212.06/x
  3. Step 3: Cross multiply
    133.81x = 212.06 × 212.06
  4. Step 4: Simplify right side
    133.81x = 44,970.50
  5. Step 5: Solve for x
    x = 44,970.50/133.81
  6. Step 6: Final answer
    x = 336.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.