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Finding the Third Proportional to 163.03 and 354.89

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Solution

The third proportional to 163.03 and 354.89 is: 772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.03 : 354.89 = 354.89 : x
  2. Step 2: Convert to fraction form
    163.03/354.89 = 354.89/x
  3. Step 3: Cross multiply
    163.03x = 354.89 × 354.89
  4. Step 4: Simplify right side
    163.03x = 125,946.32
  5. Step 5: Solve for x
    x = 125,946.32/163.03
  6. Step 6: Final answer
    x = 772.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.