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Finding the Third Proportional to 260,301.75 and 580,419.75

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Solution

The third proportional to 260,301.75 and 580,419.75 is: 1,294,217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,301.75 : 580,419.75 = 580,419.75 : x
  2. Step 2: Convert to fraction form
    260,301.75/580,419.75 = 580,419.75/x
  3. Step 3: Cross multiply
    260,301.75x = 580,419.75 × 580,419.75
  4. Step 4: Simplify right side
    260,301.75x = 336,887,086,190.06
  5. Step 5: Solve for x
    x = 336,887,086,190.06/260,301.75
  6. Step 6: Final answer
    x = 1,294,217.52

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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.