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Finding the Third Proportional to 133.35 and 147.77

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Solution

The third proportional to 133.35 and 147.77 is: 163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.35 : 147.77 = 147.77 : x
  2. Step 2: Convert to fraction form
    133.35/147.77 = 147.77/x
  3. Step 3: Cross multiply
    133.35x = 147.77 × 147.77
  4. Step 4: Simplify right side
    133.35x = 21,834.99
  5. Step 5: Solve for x
    x = 21,834.99/133.35
  6. Step 6: Final answer
    x = 163.74

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.