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Finding the Third Proportional to 268,890 and 376,847

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Solution

The third proportional to 268,890 and 376,847 is: 528,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,890 : 376,847 = 376,847 : x
  2. Step 2: Convert to fraction form
    268,890/376,847 = 376,847/x
  3. Step 3: Cross multiply
    268,890x = 376,847 × 376,847
  4. Step 4: Simplify right side
    268,890x = 142,013,661,409
  5. Step 5: Solve for x
    x = 142,013,661,409/268,890
  6. Step 6: Final answer
    x = 528,147.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.