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Finding the Third Proportional to 275,158 and 366,911

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Solution

The third proportional to 275,158 and 366,911 is: 489,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,158 : 366,911 = 366,911 : x
  2. Step 2: Convert to fraction form
    275,158/366,911 = 366,911/x
  3. Step 3: Cross multiply
    275,158x = 366,911 × 366,911
  4. Step 4: Simplify right side
    275,158x = 134,623,681,921
  5. Step 5: Solve for x
    x = 134,623,681,921/275,158
  6. Step 6: Final answer
    x = 489,259.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.