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Finding the Third Proportional to 131,220 and 274,914

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Solution

The third proportional to 131,220 and 274,914 is: 575,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,220 : 274,914 = 274,914 : x
  2. Step 2: Convert to fraction form
    131,220/274,914 = 274,914/x
  3. Step 3: Cross multiply
    131,220x = 274,914 × 274,914
  4. Step 4: Simplify right side
    131,220x = 75,577,707,396
  5. Step 5: Solve for x
    x = 75,577,707,396/131,220
  6. Step 6: Final answer
    x = 575,961.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.