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Finding the Third Proportional to 259,823 and 558,324

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Solution

The third proportional to 259,823 and 558,324 is: 1,199,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,823 : 558,324 = 558,324 : x
  2. Step 2: Convert to fraction form
    259,823/558,324 = 558,324/x
  3. Step 3: Cross multiply
    259,823x = 558,324 × 558,324
  4. Step 4: Simplify right side
    259,823x = 311,725,688,976
  5. Step 5: Solve for x
    x = 311,725,688,976/259,823
  6. Step 6: Final answer
    x = 1,199,761.72

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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.