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Finding the Third Proportional to 258,917 and 349,815

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Solution

The third proportional to 258,917 and 349,815 is: 472,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,917 : 349,815 = 349,815 : x
  2. Step 2: Convert to fraction form
    258,917/349,815 = 349,815/x
  3. Step 3: Cross multiply
    258,917x = 349,815 × 349,815
  4. Step 4: Simplify right side
    258,917x = 122,370,534,225
  5. Step 5: Solve for x
    x = 122,370,534,225/258,917
  6. Step 6: Final answer
    x = 472,624.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.