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Finding the Third Proportional to 75.21 and 105.10

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Solution

The third proportional to 75.21 and 105.10 is: 146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.21 : 105.10 = 105.10 : x
  2. Step 2: Convert to fraction form
    75.21/105.10 = 105.10/x
  3. Step 3: Cross multiply
    75.21x = 105.10 × 105.10
  4. Step 4: Simplify right side
    75.21x = 11,045.10
  5. Step 5: Solve for x
    x = 11,045.10/75.21
  6. Step 6: Final answer
    x = 146.86

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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.