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Finding the Third Proportional to 35.14 and 51.81

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Solution

The third proportional to 35.14 and 51.81 is: 76.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.14 : 51.81 = 51.81 : x
  2. Step 2: Convert to fraction form
    35.14/51.81 = 51.81/x
  3. Step 3: Cross multiply
    35.14x = 51.81 × 51.81
  4. Step 4: Simplify right side
    35.14x = 2,684.11
  5. Step 5: Solve for x
    x = 2,684.11/35.14
  6. Step 6: Final answer
    x = 76.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.