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Finding the Third Proportional to 420,228 and 971,838

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Solution

The third proportional to 420,228 and 971,838 is: 2,247,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,228 : 971,838 = 971,838 : x
  2. Step 2: Convert to fraction form
    420,228/971,838 = 971,838/x
  3. Step 3: Cross multiply
    420,228x = 971,838 × 971,838
  4. Step 4: Simplify right side
    420,228x = 944,469,098,244
  5. Step 5: Solve for x
    x = 944,469,098,244/420,228
  6. Step 6: Final answer
    x = 2,247,515.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.