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Finding the Third Proportional to 140,057 and 210,185

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Solution

The third proportional to 140,057 and 210,185 is: 315,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,057 : 210,185 = 210,185 : x
  2. Step 2: Convert to fraction form
    140,057/210,185 = 210,185/x
  3. Step 3: Cross multiply
    140,057x = 210,185 × 210,185
  4. Step 4: Simplify right side
    140,057x = 44,177,734,225
  5. Step 5: Solve for x
    x = 44,177,734,225/140,057
  6. Step 6: Final answer
    x = 315,426.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.