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Finding the Third Proportional to 259,816 and 558,308

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Solution

The third proportional to 259,816 and 558,308 is: 1,199,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,816 : 558,308 = 558,308 : x
  2. Step 2: Convert to fraction form
    259,816/558,308 = 558,308/x
  3. Step 3: Cross multiply
    259,816x = 558,308 × 558,308
  4. Step 4: Simplify right side
    259,816x = 311,707,822,864
  5. Step 5: Solve for x
    x = 311,707,822,864/259,816
  6. Step 6: Final answer
    x = 1,199,725.28

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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.