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Finding the Third Proportional to 159.10 and 223.70

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Solution

The third proportional to 159.10 and 223.70 is: 314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.10 : 223.70 = 223.70 : x
  2. Step 2: Convert to fraction form
    159.10/223.70 = 223.70/x
  3. Step 3: Cross multiply
    159.10x = 223.70 × 223.70
  4. Step 4: Simplify right side
    159.10x = 50,041.34
  5. Step 5: Solve for x
    x = 50,041.34/159.10
  6. Step 6: Final answer
    x = 314.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.