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Finding the Third Proportional to 100.13 and 207.81

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Solution

The third proportional to 100.13 and 207.81 is: 431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.13 : 207.81 = 207.81 : x
  2. Step 2: Convert to fraction form
    100.13/207.81 = 207.81/x
  3. Step 3: Cross multiply
    100.13x = 207.81 × 207.81
  4. Step 4: Simplify right side
    100.13x = 43,186.04
  5. Step 5: Solve for x
    x = 43,186.04/100.13
  6. Step 6: Final answer
    x = 431.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.