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Finding the Third Proportional to 270.19 and 590.81

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Solution

The third proportional to 270.19 and 590.81 is: 1,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.19 : 590.81 = 590.81 : x
  2. Step 2: Convert to fraction form
    270.19/590.81 = 590.81/x
  3. Step 3: Cross multiply
    270.19x = 590.81 × 590.81
  4. Step 4: Simplify right side
    270.19x = 349,059.41
  5. Step 5: Solve for x
    x = 349,059.41/270.19
  6. Step 6: Final answer
    x = 1,291.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.