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Finding the Third Proportional to 130.50 and 193.69

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Solution

The third proportional to 130.50 and 193.69 is: 287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.50 : 193.69 = 193.69 : x
  2. Step 2: Convert to fraction form
    130.50/193.69 = 193.69/x
  3. Step 3: Cross multiply
    130.50x = 193.69 × 193.69
  4. Step 4: Simplify right side
    130.50x = 37,514.85
  5. Step 5: Solve for x
    x = 37,514.85/130.50
  6. Step 6: Final answer
    x = 287.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.