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Finding the Third Proportional to 200.06 and 279.28

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Solution

The third proportional to 200.06 and 279.28 is: 389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.06 : 279.28 = 279.28 : x
  2. Step 2: Convert to fraction form
    200.06/279.28 = 279.28/x
  3. Step 3: Cross multiply
    200.06x = 279.28 × 279.28
  4. Step 4: Simplify right side
    200.06x = 77,998.02
  5. Step 5: Solve for x
    x = 77,998.02/200.06
  6. Step 6: Final answer
    x = 389.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.