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Finding the Third Proportional to 130.99 and 270.21

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Solution

The third proportional to 130.99 and 270.21 is: 557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.99 : 270.21 = 270.21 : x
  2. Step 2: Convert to fraction form
    130.99/270.21 = 270.21/x
  3. Step 3: Cross multiply
    130.99x = 270.21 × 270.21
  4. Step 4: Simplify right side
    130.99x = 73,013.95
  5. Step 5: Solve for x
    x = 73,013.95/130.99
  6. Step 6: Final answer
    x = 557.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.