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Finding the Third Proportional to 222,476 and 460,723

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Solution

The third proportional to 222,476 and 460,723 is: 954,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,476 : 460,723 = 460,723 : x
  2. Step 2: Convert to fraction form
    222,476/460,723 = 460,723/x
  3. Step 3: Cross multiply
    222,476x = 460,723 × 460,723
  4. Step 4: Simplify right side
    222,476x = 212,265,682,729
  5. Step 5: Solve for x
    x = 212,265,682,729/222,476
  6. Step 6: Final answer
    x = 954,105.98

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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.