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Finding the Third Proportional to 156,260 and 221,250

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Solution

The third proportional to 156,260 and 221,250 is: 313,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,260 : 221,250 = 221,250 : x
  2. Step 2: Convert to fraction form
    156,260/221,250 = 221,250/x
  3. Step 3: Cross multiply
    156,260x = 221,250 × 221,250
  4. Step 4: Simplify right side
    156,260x = 48,951,562,500
  5. Step 5: Solve for x
    x = 48,951,562,500/156,260
  6. Step 6: Final answer
    x = 313,269.95

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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.