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Finding the Third Proportional to 222,498 and 460,767

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Solution

The third proportional to 222,498 and 460,767 is: 954,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,498 : 460,767 = 460,767 : x
  2. Step 2: Convert to fraction form
    222,498/460,767 = 460,767/x
  3. Step 3: Cross multiply
    222,498x = 460,767 × 460,767
  4. Step 4: Simplify right side
    222,498x = 212,306,228,289
  5. Step 5: Solve for x
    x = 212,306,228,289/222,498
  6. Step 6: Final answer
    x = 954,193.87

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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.