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Finding the Third Proportional to 156,261 and 221,253

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Solution

The third proportional to 156,261 and 221,253 is: 313,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,261 : 221,253 = 221,253 : x
  2. Step 2: Convert to fraction form
    156,261/221,253 = 221,253/x
  3. Step 3: Cross multiply
    156,261x = 221,253 × 221,253
  4. Step 4: Simplify right side
    156,261x = 48,952,890,009
  5. Step 5: Solve for x
    x = 48,952,890,009/156,261
  6. Step 6: Final answer
    x = 313,276.44

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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.