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Finding the Third Proportional to 259,904 and 566,815

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Solution

The third proportional to 259,904 and 566,815 is: 1,236,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,904 : 566,815 = 566,815 : x
  2. Step 2: Convert to fraction form
    259,904/566,815 = 566,815/x
  3. Step 3: Cross multiply
    259,904x = 566,815 × 566,815
  4. Step 4: Simplify right side
    259,904x = 321,279,244,225
  5. Step 5: Solve for x
    x = 321,279,244,225/259,904
  6. Step 6: Final answer
    x = 1,236,145.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.