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Finding the Third Proportional to 258,932 and 349,837

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Solution

The third proportional to 258,932 and 349,837 is: 472,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,932 : 349,837 = 349,837 : x
  2. Step 2: Convert to fraction form
    258,932/349,837 = 349,837/x
  3. Step 3: Cross multiply
    258,932x = 349,837 × 349,837
  4. Step 4: Simplify right side
    258,932x = 122,385,926,569
  5. Step 5: Solve for x
    x = 122,385,926,569/258,932
  6. Step 6: Final answer
    x = 472,656.63

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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.