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Finding the Third Proportional to 140,661 and 331,840.13

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Solution

The third proportional to 140,661 and 331,840.13 is: 782,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,661 : 331,840.13 = 331,840.13 : x
  2. Step 2: Convert to fraction form
    140,661/331,840.13 = 331,840.13/x
  3. Step 3: Cross multiply
    140,661x = 331,840.13 × 331,840.13
  4. Step 4: Simplify right side
    140,661x = 110,117,868,560.02
  5. Step 5: Solve for x
    x = 110,117,868,560.02/140,661
  6. Step 6: Final answer
    x = 782,859.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.