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Finding the Third Proportional to 156,954 and 221,122

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Solution

The third proportional to 156,954 and 221,122 is: 311,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,954 : 221,122 = 221,122 : x
  2. Step 2: Convert to fraction form
    156,954/221,122 = 221,122/x
  3. Step 3: Cross multiply
    156,954x = 221,122 × 221,122
  4. Step 4: Simplify right side
    156,954x = 48,894,938,884
  5. Step 5: Solve for x
    x = 48,894,938,884/156,954
  6. Step 6: Final answer
    x = 311,524.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.