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Finding the Third Proportional to 270.13 and 590.13

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Solution

The third proportional to 270.13 and 590.13 is: 1,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.13 : 590.13 = 590.13 : x
  2. Step 2: Convert to fraction form
    270.13/590.13 = 590.13/x
  3. Step 3: Cross multiply
    270.13x = 590.13 × 590.13
  4. Step 4: Simplify right side
    270.13x = 348,247.52
  5. Step 5: Solve for x
    x = 348,247.52/270.13
  6. Step 6: Final answer
    x = 1,289.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.