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Finding the Third Proportional to 101.51 and 188.61

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Solution

The third proportional to 101.51 and 188.61 is: 350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.51 : 188.61 = 188.61 : x
  2. Step 2: Convert to fraction form
    101.51/188.61 = 188.61/x
  3. Step 3: Cross multiply
    101.51x = 188.61 × 188.61
  4. Step 4: Simplify right side
    101.51x = 35,574.76
  5. Step 5: Solve for x
    x = 35,574.76/101.51
  6. Step 6: Final answer
    x = 350.44

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.