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Finding the Third Proportional to 102.56 and 200.19

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Solution

The third proportional to 102.56 and 200.19 is: 390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 200.19 = 200.19 : x
  2. Step 2: Convert to fraction form
    102.56/200.19 = 200.19/x
  3. Step 3: Cross multiply
    102.56x = 200.19 × 200.19
  4. Step 4: Simplify right side
    102.56x = 40,075.04
  5. Step 5: Solve for x
    x = 40,075.04/102.56
  6. Step 6: Final answer
    x = 390.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.