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Finding the Third Proportional to 156,734 and 220,235

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Solution

The third proportional to 156,734 and 220,235 is: 309,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,734 : 220,235 = 220,235 : x
  2. Step 2: Convert to fraction form
    156,734/220,235 = 220,235/x
  3. Step 3: Cross multiply
    156,734x = 220,235 × 220,235
  4. Step 4: Simplify right side
    156,734x = 48,503,455,225
  5. Step 5: Solve for x
    x = 48,503,455,225/156,734
  6. Step 6: Final answer
    x = 309,463.52

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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.