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Finding the Third Proportional to 136 and 207.88

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Solution

The third proportional to 136 and 207.88 is: 317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136 : 207.88 = 207.88 : x
  2. Step 2: Convert to fraction form
    136/207.88 = 207.88/x
  3. Step 3: Cross multiply
    136x = 207.88 × 207.88
  4. Step 4: Simplify right side
    136x = 43,212.02
  5. Step 5: Solve for x
    x = 43,212.02/136
  6. Step 6: Final answer
    x = 317.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.