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Finding the Third Proportional to 35.86 and 66.61

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Solution

The third proportional to 35.86 and 66.61 is: 123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.86 : 66.61 = 66.61 : x
  2. Step 2: Convert to fraction form
    35.86/66.61 = 66.61/x
  3. Step 3: Cross multiply
    35.86x = 66.61 × 66.61
  4. Step 4: Simplify right side
    35.86x = 4,436.81
  5. Step 5: Solve for x
    x = 4,436.81/35.86
  6. Step 6: Final answer
    x = 123.73

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.