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Finding the Third Proportional to 156,982 and 221,164

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Solution

The third proportional to 156,982 and 221,164 is: 311,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,982 : 221,164 = 221,164 : x
  2. Step 2: Convert to fraction form
    156,982/221,164 = 221,164/x
  3. Step 3: Cross multiply
    156,982x = 221,164 × 221,164
  4. Step 4: Simplify right side
    156,982x = 48,913,514,896
  5. Step 5: Solve for x
    x = 48,913,514,896/156,982
  6. Step 6: Final answer
    x = 311,586.77

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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.