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Finding the Third Proportional to 156,923 and 221,078

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Solution

The third proportional to 156,923 and 221,078 is: 311,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,923 : 221,078 = 221,078 : x
  2. Step 2: Convert to fraction form
    156,923/221,078 = 221,078/x
  3. Step 3: Cross multiply
    156,923x = 221,078 × 221,078
  4. Step 4: Simplify right side
    156,923x = 48,875,482,084
  5. Step 5: Solve for x
    x = 48,875,482,084/156,923
  6. Step 6: Final answer
    x = 311,461.56

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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.