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Finding the Third Proportional to 156,943 and 221,108

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Solution

The third proportional to 156,943 and 221,108 is: 311,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,943 : 221,108 = 221,108 : x
  2. Step 2: Convert to fraction form
    156,943/221,108 = 221,108/x
  3. Step 3: Cross multiply
    156,943x = 221,108 × 221,108
  4. Step 4: Simplify right side
    156,943x = 48,888,747,664
  5. Step 5: Solve for x
    x = 48,888,747,664/156,943
  6. Step 6: Final answer
    x = 311,506.39

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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.