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Finding the Third Proportional to 100,460 and 222,948

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Solution

The third proportional to 100,460 and 222,948 is: 494,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,460 : 222,948 = 222,948 : x
  2. Step 2: Convert to fraction form
    100,460/222,948 = 222,948/x
  3. Step 3: Cross multiply
    100,460x = 222,948 × 222,948
  4. Step 4: Simplify right side
    100,460x = 49,705,810,704
  5. Step 5: Solve for x
    x = 49,705,810,704/100,460
  6. Step 6: Final answer
    x = 494,782.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.