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Finding the Third Proportional to 259.14 and 579.34

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Solution

The third proportional to 259.14 and 579.34 is: 1,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.14 : 579.34 = 579.34 : x
  2. Step 2: Convert to fraction form
    259.14/579.34 = 579.34/x
  3. Step 3: Cross multiply
    259.14x = 579.34 × 579.34
  4. Step 4: Simplify right side
    259.14x = 335,634.65
  5. Step 5: Solve for x
    x = 335,634.65/259.14
  6. Step 6: Final answer
    x = 1,295.20

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.