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Finding the Third Proportional to 156,729 and 220,228

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Solution

The third proportional to 156,729 and 220,228 is: 309,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729 : 220,228 = 220,228 : x
  2. Step 2: Convert to fraction form
    156,729/220,228 = 220,228/x
  3. Step 3: Cross multiply
    156,729x = 220,228 × 220,228
  4. Step 4: Simplify right side
    156,729x = 48,500,371,984
  5. Step 5: Solve for x
    x = 48,500,371,984/156,729
  6. Step 6: Final answer
    x = 309,453.72

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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.