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Finding the Third Proportional to 100.08 and 212.04

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Solution

The third proportional to 100.08 and 212.04 is: 449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.08 : 212.04 = 212.04 : x
  2. Step 2: Convert to fraction form
    100.08/212.04 = 212.04/x
  3. Step 3: Cross multiply
    100.08x = 212.04 × 212.04
  4. Step 4: Simplify right side
    100.08x = 44,960.56
  5. Step 5: Solve for x
    x = 44,960.56/100.08
  6. Step 6: Final answer
    x = 449.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.