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Finding the Third Proportional to 130.88 and 274.31

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Solution

The third proportional to 130.88 and 274.31 is: 574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.88 : 274.31 = 274.31 : x
  2. Step 2: Convert to fraction form
    130.88/274.31 = 274.31/x
  3. Step 3: Cross multiply
    130.88x = 274.31 × 274.31
  4. Step 4: Simplify right side
    130.88x = 75,247.35
  5. Step 5: Solve for x
    x = 75,247.35/130.88
  6. Step 6: Final answer
    x = 574.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.