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Finding the Third Proportional to 260.09 and 525.87

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Solution

The third proportional to 260.09 and 525.87 is: 1,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.09 : 525.87 = 525.87 : x
  2. Step 2: Convert to fraction form
    260.09/525.87 = 525.87/x
  3. Step 3: Cross multiply
    260.09x = 525.87 × 525.87
  4. Step 4: Simplify right side
    260.09x = 276,536.30
  5. Step 5: Solve for x
    x = 276,536.30/260.09
  6. Step 6: Final answer
    x = 1,063.25

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.