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Finding the Third Proportional to 200.81 and 376.41

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Solution

The third proportional to 200.81 and 376.41 is: 705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.81 : 376.41 = 376.41 : x
  2. Step 2: Convert to fraction form
    200.81/376.41 = 376.41/x
  3. Step 3: Cross multiply
    200.81x = 376.41 × 376.41
  4. Step 4: Simplify right side
    200.81x = 141,681.67
  5. Step 5: Solve for x
    x = 141,681.67/200.81
  6. Step 6: Final answer
    x = 705.54

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.