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Finding the Third Proportional to 75.09 and 91.45

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Solution

The third proportional to 75.09 and 91.45 is: 111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 91.45 = 91.45 : x
  2. Step 2: Convert to fraction form
    75.09/91.45 = 91.45/x
  3. Step 3: Cross multiply
    75.09x = 91.45 × 91.45
  4. Step 4: Simplify right side
    75.09x = 8,363.67
  5. Step 5: Solve for x
    x = 8,363.67/75.09
  6. Step 6: Final answer
    x = 111.38

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.