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Finding the Third Proportional to 260.11 and 569.89

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Solution

The third proportional to 260.11 and 569.89 is: 1,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.11 : 569.89 = 569.89 : x
  2. Step 2: Convert to fraction form
    260.11/569.89 = 569.89/x
  3. Step 3: Cross multiply
    260.11x = 569.89 × 569.89
  4. Step 4: Simplify right side
    260.11x = 324,779.78
  5. Step 5: Solve for x
    x = 324,779.78/260.11
  6. Step 6: Final answer
    x = 1,248.63

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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.