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Finding the Third Proportional to 140,974 and 215,925

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Solution

The third proportional to 140,974 and 215,925 is: 330,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,974 : 215,925 = 215,925 : x
  2. Step 2: Convert to fraction form
    140,974/215,925 = 215,925/x
  3. Step 3: Cross multiply
    140,974x = 215,925 × 215,925
  4. Step 4: Simplify right side
    140,974x = 46,623,605,625
  5. Step 5: Solve for x
    x = 46,623,605,625/140,974
  6. Step 6: Final answer
    x = 330,724.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.