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Finding the Third Proportional to 156,962 and 221,134

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Solution

The third proportional to 156,962 and 221,134 is: 311,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,962 : 221,134 = 221,134 : x
  2. Step 2: Convert to fraction form
    156,962/221,134 = 221,134/x
  3. Step 3: Cross multiply
    156,962x = 221,134 × 221,134
  4. Step 4: Simplify right side
    156,962x = 48,900,245,956
  5. Step 5: Solve for x
    x = 48,900,245,956/156,962
  6. Step 6: Final answer
    x = 311,541.94

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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.