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Finding the Third Proportional to 395.81 and 614.39

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Solution

The third proportional to 395.81 and 614.39 is: 953.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.81 : 614.39 = 614.39 : x
  2. Step 2: Convert to fraction form
    395.81/614.39 = 614.39/x
  3. Step 3: Cross multiply
    395.81x = 614.39 × 614.39
  4. Step 4: Simplify right side
    395.81x = 377,475.84
  5. Step 5: Solve for x
    x = 377,475.84/395.81
  6. Step 6: Final answer
    x = 953.67

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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.