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Finding the Third Proportional to 163.78 and 386.06

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Solution

The third proportional to 163.78 and 386.06 is: 910.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 386.06 = 386.06 : x
  2. Step 2: Convert to fraction form
    163.78/386.06 = 386.06/x
  3. Step 3: Cross multiply
    163.78x = 386.06 × 386.06
  4. Step 4: Simplify right side
    163.78x = 149,044.25
  5. Step 5: Solve for x
    x = 149,044.25/163.78
  6. Step 6: Final answer
    x = 910.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.