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Finding the Third Proportional to 40.73 and 85.71

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Solution

The third proportional to 40.73 and 85.71 is: 180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.73 : 85.71 = 85.71 : x
  2. Step 2: Convert to fraction form
    40.73/85.71 = 85.71/x
  3. Step 3: Cross multiply
    40.73x = 85.71 × 85.71
  4. Step 4: Simplify right side
    40.73x = 7,346.36
  5. Step 5: Solve for x
    x = 7,346.36/40.73
  6. Step 6: Final answer
    x = 180.35

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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.