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Finding the Third Proportional to 221,680 and 459,126

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Solution

The third proportional to 221,680 and 459,126 is: 950,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,680 : 459,126 = 459,126 : x
  2. Step 2: Convert to fraction form
    221,680/459,126 = 459,126/x
  3. Step 3: Cross multiply
    221,680x = 459,126 × 459,126
  4. Step 4: Simplify right side
    221,680x = 210,796,683,876
  5. Step 5: Solve for x
    x = 210,796,683,876/221,680
  6. Step 6: Final answer
    x = 950,905.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.