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Finding the Third Proportional to 75.09 and 105.47

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Solution

The third proportional to 75.09 and 105.47 is: 148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 105.47 = 105.47 : x
  2. Step 2: Convert to fraction form
    75.09/105.47 = 105.47/x
  3. Step 3: Cross multiply
    75.09x = 105.47 × 105.47
  4. Step 4: Simplify right side
    75.09x = 11,123.66
  5. Step 5: Solve for x
    x = 11,123.66/75.09
  6. Step 6: Final answer
    x = 148.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.