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Finding the Third Proportional to 75.84 and 142.13

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Solution

The third proportional to 75.84 and 142.13 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.84 : 142.13 = 142.13 : x
  2. Step 2: Convert to fraction form
    75.84/142.13 = 142.13/x
  3. Step 3: Cross multiply
    75.84x = 142.13 × 142.13
  4. Step 4: Simplify right side
    75.84x = 20,199.52
  5. Step 5: Solve for x
    x = 20,199.52/75.84
  6. Step 6: Final answer
    x = 266.33

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.