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Finding the Third Proportional to 37.02 and 77.84

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Solution

The third proportional to 37.02 and 77.84 is: 163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.02 : 77.84 = 77.84 : x
  2. Step 2: Convert to fraction form
    37.02/77.84 = 77.84/x
  3. Step 3: Cross multiply
    37.02x = 77.84 × 77.84
  4. Step 4: Simplify right side
    37.02x = 6,058.43
  5. Step 5: Solve for x
    x = 6,058.43/37.02
  6. Step 6: Final answer
    x = 163.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.