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Finding the Third Proportional to 65.81 and 102.19

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Solution

The third proportional to 65.81 and 102.19 is: 158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.81 : 102.19 = 102.19 : x
  2. Step 2: Convert to fraction form
    65.81/102.19 = 102.19/x
  3. Step 3: Cross multiply
    65.81x = 102.19 × 102.19
  4. Step 4: Simplify right side
    65.81x = 10,442.29
  5. Step 5: Solve for x
    x = 10,442.29/65.81
  6. Step 6: Final answer
    x = 158.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.