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Finding the Third Proportional to 270.19 and 601.31

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Solution

The third proportional to 270.19 and 601.31 is: 1,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.19 : 601.31 = 601.31 : x
  2. Step 2: Convert to fraction form
    270.19/601.31 = 601.31/x
  3. Step 3: Cross multiply
    270.19x = 601.31 × 601.31
  4. Step 4: Simplify right side
    270.19x = 361,576.72
  5. Step 5: Solve for x
    x = 361,576.72/270.19
  6. Step 6: Final answer
    x = 1,338.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.