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Finding the Third Proportional to 222,542 and 460,636

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Solution

The third proportional to 222,542 and 460,636 is: 953,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,542 : 460,636 = 460,636 : x
  2. Step 2: Convert to fraction form
    222,542/460,636 = 460,636/x
  3. Step 3: Cross multiply
    222,542x = 460,636 × 460,636
  4. Step 4: Simplify right side
    222,542x = 212,185,524,496
  5. Step 5: Solve for x
    x = 212,185,524,496/222,542
  6. Step 6: Final answer
    x = 953,462.83

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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.