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Finding the Third Proportional to 156,940 and 221,101

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Solution

The third proportional to 156,940 and 221,101 is: 311,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,940 : 221,101 = 221,101 : x
  2. Step 2: Convert to fraction form
    156,940/221,101 = 221,101/x
  3. Step 3: Cross multiply
    156,940x = 221,101 × 221,101
  4. Step 4: Simplify right side
    156,940x = 48,885,652,201
  5. Step 5: Solve for x
    x = 48,885,652,201/156,940
  6. Step 6: Final answer
    x = 311,492.62

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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.