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Finding the Third Proportional to 156,276 and 221,268

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Solution

The third proportional to 156,276 and 221,268 is: 313,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,276 : 221,268 = 221,268 : x
  2. Step 2: Convert to fraction form
    156,276/221,268 = 221,268/x
  3. Step 3: Cross multiply
    156,276x = 221,268 × 221,268
  4. Step 4: Simplify right side
    156,276x = 48,959,527,824
  5. Step 5: Solve for x
    x = 48,959,527,824/156,276
  6. Step 6: Final answer
    x = 313,288.85

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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.