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Finding the Third Proportional to 156,719 and 220,214

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Solution

The third proportional to 156,719 and 220,214 is: 309,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,719 : 220,214 = 220,214 : x
  2. Step 2: Convert to fraction form
    156,719/220,214 = 220,214/x
  3. Step 3: Cross multiply
    156,719x = 220,214 × 220,214
  4. Step 4: Simplify right side
    156,719x = 48,494,205,796
  5. Step 5: Solve for x
    x = 48,494,205,796/156,719
  6. Step 6: Final answer
    x = 309,434.12

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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.