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Finding the Third Proportional to 109.15 and 237.54

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Solution

The third proportional to 109.15 and 237.54 is: 516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.15 : 237.54 = 237.54 : x
  2. Step 2: Convert to fraction form
    109.15/237.54 = 237.54/x
  3. Step 3: Cross multiply
    109.15x = 237.54 × 237.54
  4. Step 4: Simplify right side
    109.15x = 56,424.81
  5. Step 5: Solve for x
    x = 56,424.81/109.15
  6. Step 6: Final answer
    x = 516.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.