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Finding the Third Proportional to 156,663 and 331,185

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Solution

The third proportional to 156,663 and 331,185 is: 700,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,663 : 331,185 = 331,185 : x
  2. Step 2: Convert to fraction form
    156,663/331,185 = 331,185/x
  3. Step 3: Cross multiply
    156,663x = 331,185 × 331,185
  4. Step 4: Simplify right side
    156,663x = 109,683,504,225
  5. Step 5: Solve for x
    x = 109,683,504,225/156,663
  6. Step 6: Final answer
    x = 700,123.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.