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Finding the Third Proportional to 156,732 and 220,233

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Solution

The third proportional to 156,732 and 220,233 is: 309,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,732 : 220,233 = 220,233 : x
  2. Step 2: Convert to fraction form
    156,732/220,233 = 220,233/x
  3. Step 3: Cross multiply
    156,732x = 220,233 × 220,233
  4. Step 4: Simplify right side
    156,732x = 48,502,574,289
  5. Step 5: Solve for x
    x = 48,502,574,289/156,732
  6. Step 6: Final answer
    x = 309,461.85

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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.