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Finding the Third Proportional to 109.32 and 233.77

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Solution

The third proportional to 109.32 and 233.77 is: 499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.32 : 233.77 = 233.77 : x
  2. Step 2: Convert to fraction form
    109.32/233.77 = 233.77/x
  3. Step 3: Cross multiply
    109.32x = 233.77 × 233.77
  4. Step 4: Simplify right side
    109.32x = 54,649.11
  5. Step 5: Solve for x
    x = 54,649.11/109.32
  6. Step 6: Final answer
    x = 499.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.