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Finding the Third Proportional to 159.18 and 347.19

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Solution

The third proportional to 159.18 and 347.19 is: 757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.18 : 347.19 = 347.19 : x
  2. Step 2: Convert to fraction form
    159.18/347.19 = 347.19/x
  3. Step 3: Cross multiply
    159.18x = 347.19 × 347.19
  4. Step 4: Simplify right side
    159.18x = 120,542.00
  5. Step 5: Solve for x
    x = 120,542.00/159.18
  6. Step 6: Final answer
    x = 757.27

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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.