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Finding the Third Proportional to 109.88 and 174

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Solution

The third proportional to 109.88 and 174 is: 275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.88 : 174 = 174 : x
  2. Step 2: Convert to fraction form
    109.88/174 = 174/x
  3. Step 3: Cross multiply
    109.88x = 174 × 174
  4. Step 4: Simplify right side
    109.88x = 30,276
  5. Step 5: Solve for x
    x = 30,276/109.88
  6. Step 6: Final answer
    x = 275.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.