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Finding the Third Proportional to 156,955 and 221,126

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Solution

The third proportional to 156,955 and 221,126 is: 311,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,955 : 221,126 = 221,126 : x
  2. Step 2: Convert to fraction form
    156,955/221,126 = 221,126/x
  3. Step 3: Cross multiply
    156,955x = 221,126 × 221,126
  4. Step 4: Simplify right side
    156,955x = 48,896,707,876
  5. Step 5: Solve for x
    x = 48,896,707,876/156,955
  6. Step 6: Final answer
    x = 311,533.29

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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.