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Finding the Third Proportional to 109.16 and 232.08

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Solution

The third proportional to 109.16 and 232.08 is: 493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.16 : 232.08 = 232.08 : x
  2. Step 2: Convert to fraction form
    109.16/232.08 = 232.08/x
  3. Step 3: Cross multiply
    109.16x = 232.08 × 232.08
  4. Step 4: Simplify right side
    109.16x = 53,862.98
  5. Step 5: Solve for x
    x = 53,862.98/109.16
  6. Step 6: Final answer
    x = 493.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.