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Finding the Third Proportional to 130.68 and 223.22

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Solution

The third proportional to 130.68 and 223.22 is: 381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.68 : 223.22 = 223.22 : x
  2. Step 2: Convert to fraction form
    130.68/223.22 = 223.22/x
  3. Step 3: Cross multiply
    130.68x = 223.22 × 223.22
  4. Step 4: Simplify right side
    130.68x = 49,829.23
  5. Step 5: Solve for x
    x = 49,829.23/130.68
  6. Step 6: Final answer
    x = 381.32

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.