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Finding the Third Proportional to 130.22 and 275.34

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Solution

The third proportional to 130.22 and 275.34 is: 582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.22 : 275.34 = 275.34 : x
  2. Step 2: Convert to fraction form
    130.22/275.34 = 275.34/x
  3. Step 3: Cross multiply
    130.22x = 275.34 × 275.34
  4. Step 4: Simplify right side
    130.22x = 75,814.18
  5. Step 5: Solve for x
    x = 75,814.18/130.22
  6. Step 6: Final answer
    x = 582.21

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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.