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Finding the Third Proportional to 258,915 and 349,812

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Solution

The third proportional to 258,915 and 349,812 is: 472,620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,915 : 349,812 = 349,812 : x
  2. Step 2: Convert to fraction form
    258,915/349,812 = 349,812/x
  3. Step 3: Cross multiply
    258,915x = 349,812 × 349,812
  4. Step 4: Simplify right side
    258,915x = 122,368,435,344
  5. Step 5: Solve for x
    x = 122,368,435,344/258,915
  6. Step 6: Final answer
    x = 472,620.11

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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.