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Finding the Third Proportional to 156,263 and 221,256

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Solution

The third proportional to 156,263 and 221,256 is: 313,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,263 : 221,256 = 221,256 : x
  2. Step 2: Convert to fraction form
    156,263/221,256 = 221,256/x
  3. Step 3: Cross multiply
    156,263x = 221,256 × 221,256
  4. Step 4: Simplify right side
    156,263x = 48,954,217,536
  5. Step 5: Solve for x
    x = 48,954,217,536/156,263
  6. Step 6: Final answer
    x = 313,280.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.