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Finding the Third Proportional to 39.23 and 85.64

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Solution

The third proportional to 39.23 and 85.64 is: 186.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.23 : 85.64 = 85.64 : x
  2. Step 2: Convert to fraction form
    39.23/85.64 = 85.64/x
  3. Step 3: Cross multiply
    39.23x = 85.64 × 85.64
  4. Step 4: Simplify right side
    39.23x = 7,334.32
  5. Step 5: Solve for x
    x = 7,334.32/39.23
  6. Step 6: Final answer
    x = 186.94

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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.