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Finding the Third Proportional to 109.41 and 237.80

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Solution

The third proportional to 109.41 and 237.80 is: 516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.41 : 237.80 = 237.80 : x
  2. Step 2: Convert to fraction form
    109.41/237.80 = 237.80/x
  3. Step 3: Cross multiply
    109.41x = 237.80 × 237.80
  4. Step 4: Simplify right side
    109.41x = 56,547.35
  5. Step 5: Solve for x
    x = 56,547.35/109.41
  6. Step 6: Final answer
    x = 516.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.