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Finding the Third Proportional to 156,939 and 221,102

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Solution

The third proportional to 156,939 and 221,102 is: 311,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,939 : 221,102 = 221,102 : x
  2. Step 2: Convert to fraction form
    156,939/221,102 = 221,102/x
  3. Step 3: Cross multiply
    156,939x = 221,102 × 221,102
  4. Step 4: Simplify right side
    156,939x = 48,886,094,404
  5. Step 5: Solve for x
    x = 48,886,094,404/156,939
  6. Step 6: Final answer
    x = 311,497.43

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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.