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Finding the Third Proportional to 136.56 and 208.06

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Solution

The third proportional to 136.56 and 208.06 is: 317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.56 : 208.06 = 208.06 : x
  2. Step 2: Convert to fraction form
    136.56/208.06 = 208.06/x
  3. Step 3: Cross multiply
    136.56x = 208.06 × 208.06
  4. Step 4: Simplify right side
    136.56x = 43,290.00
  5. Step 5: Solve for x
    x = 43,290.00/136.56
  6. Step 6: Final answer
    x = 317.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.