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Finding the Third Proportional to 156,734 and 220,236

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Solution

The third proportional to 156,734 and 220,236 is: 309,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,734 : 220,236 = 220,236 : x
  2. Step 2: Convert to fraction form
    156,734/220,236 = 220,236/x
  3. Step 3: Cross multiply
    156,734x = 220,236 × 220,236
  4. Step 4: Simplify right side
    156,734x = 48,503,895,696
  5. Step 5: Solve for x
    x = 48,503,895,696/156,734
  6. Step 6: Final answer
    x = 309,466.33

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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.