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Finding the Third Proportional to 259,409.25 and 558,839.25

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Solution

The third proportional to 259,409.25 and 558,839.25 is: 1,203,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,409.25 : 558,839.25 = 558,839.25 : x
  2. Step 2: Convert to fraction form
    259,409.25/558,839.25 = 558,839.25/x
  3. Step 3: Cross multiply
    259,409.25x = 558,839.25 × 558,839.25
  4. Step 4: Simplify right side
    259,409.25x = 312,301,307,340.56
  5. Step 5: Solve for x
    x = 312,301,307,340.56/259,409.25
  6. Step 6: Final answer
    x = 1,203,894.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.