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Finding the Third Proportional to 258,171 and 559,233

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Solution

The third proportional to 258,171 and 559,233 is: 1,211,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,171 : 559,233 = 559,233 : x
  2. Step 2: Convert to fraction form
    258,171/559,233 = 559,233/x
  3. Step 3: Cross multiply
    258,171x = 559,233 × 559,233
  4. Step 4: Simplify right side
    258,171x = 312,741,548,289
  5. Step 5: Solve for x
    x = 312,741,548,289/258,171
  6. Step 6: Final answer
    x = 1,211,373.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.