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Finding the Third Proportional to 75.01 and 83.12

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Solution

The third proportional to 75.01 and 83.12 is: 92.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.01 : 83.12 = 83.12 : x
  2. Step 2: Convert to fraction form
    75.01/83.12 = 83.12/x
  3. Step 3: Cross multiply
    75.01x = 83.12 × 83.12
  4. Step 4: Simplify right side
    75.01x = 6,908.73
  5. Step 5: Solve for x
    x = 6,908.73/75.01
  6. Step 6: Final answer
    x = 92.10

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.