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Finding the Third Proportional to 40.78 and 89.02

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Solution

The third proportional to 40.78 and 89.02 is: 194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.78 : 89.02 = 89.02 : x
  2. Step 2: Convert to fraction form
    40.78/89.02 = 89.02/x
  3. Step 3: Cross multiply
    40.78x = 89.02 × 89.02
  4. Step 4: Simplify right side
    40.78x = 7,923.78
  5. Step 5: Solve for x
    x = 7,923.78/40.78
  6. Step 6: Final answer
    x = 194.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.