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Finding the Third Proportional to 163.50 and 345.19

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Solution

The third proportional to 163.50 and 345.19 is: 728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.50 : 345.19 = 345.19 : x
  2. Step 2: Convert to fraction form
    163.50/345.19 = 345.19/x
  3. Step 3: Cross multiply
    163.50x = 345.19 × 345.19
  4. Step 4: Simplify right side
    163.50x = 119,154.41
  5. Step 5: Solve for x
    x = 119,154.41/163.50
  6. Step 6: Final answer
    x = 728.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.