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Finding the Third Proportional to 132.47 and 233.67

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Solution

The third proportional to 132.47 and 233.67 is: 412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.47 : 233.67 = 233.67 : x
  2. Step 2: Convert to fraction form
    132.47/233.67 = 233.67/x
  3. Step 3: Cross multiply
    132.47x = 233.67 × 233.67
  4. Step 4: Simplify right side
    132.47x = 54,602.55
  5. Step 5: Solve for x
    x = 54,602.55/132.47
  6. Step 6: Final answer
    x = 412.19

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.