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Finding the Third Proportional to 108.13 and 207.06

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Solution

The third proportional to 108.13 and 207.06 is: 396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.13 : 207.06 = 207.06 : x
  2. Step 2: Convert to fraction form
    108.13/207.06 = 207.06/x
  3. Step 3: Cross multiply
    108.13x = 207.06 × 207.06
  4. Step 4: Simplify right side
    108.13x = 42,874.88
  5. Step 5: Solve for x
    x = 42,874.88/108.13
  6. Step 6: Final answer
    x = 396.53

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.