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Finding the Third Proportional to 222,478 and 460,727

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Solution

The third proportional to 222,478 and 460,727 is: 954,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,478 : 460,727 = 460,727 : x
  2. Step 2: Convert to fraction form
    222,478/460,727 = 460,727/x
  3. Step 3: Cross multiply
    222,478x = 460,727 × 460,727
  4. Step 4: Simplify right side
    222,478x = 212,269,368,529
  5. Step 5: Solve for x
    x = 212,269,368,529/222,478
  6. Step 6: Final answer
    x = 954,113.97

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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.