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Finding the Third Proportional to 140,458 and 260,990

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Solution

The third proportional to 140,458 and 260,990 is: 484,954.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,458 : 260,990 = 260,990 : x
  2. Step 2: Convert to fraction form
    140,458/260,990 = 260,990/x
  3. Step 3: Cross multiply
    140,458x = 260,990 × 260,990
  4. Step 4: Simplify right side
    140,458x = 68,115,780,100
  5. Step 5: Solve for x
    x = 68,115,780,100/140,458
  6. Step 6: Final answer
    x = 484,954.79

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.