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Finding the Third Proportional to 109.69 and 237.09

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Solution

The third proportional to 109.69 and 237.09 is: 512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.69 : 237.09 = 237.09 : x
  2. Step 2: Convert to fraction form
    109.69/237.09 = 237.09/x
  3. Step 3: Cross multiply
    109.69x = 237.09 × 237.09
  4. Step 4: Simplify right side
    109.69x = 56,213.45
  5. Step 5: Solve for x
    x = 56,213.45/109.69
  6. Step 6: Final answer
    x = 512.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.