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Finding the Third Proportional to 208.78 and 386.06

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Solution

The third proportional to 208.78 and 386.06 is: 713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.78 : 386.06 = 386.06 : x
  2. Step 2: Convert to fraction form
    208.78/386.06 = 386.06/x
  3. Step 3: Cross multiply
    208.78x = 386.06 × 386.06
  4. Step 4: Simplify right side
    208.78x = 149,044.25
  5. Step 5: Solve for x
    x = 149,044.25/208.78
  6. Step 6: Final answer
    x = 713.88

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.