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Finding the Third Proportional to 223,138 and 490,502

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Solution

The third proportional to 223,138 and 490,502 is: 1,078,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,138 : 490,502 = 490,502 : x
  2. Step 2: Convert to fraction form
    223,138/490,502 = 490,502/x
  3. Step 3: Cross multiply
    223,138x = 490,502 × 490,502
  4. Step 4: Simplify right side
    223,138x = 240,592,212,004
  5. Step 5: Solve for x
    x = 240,592,212,004/223,138
  6. Step 6: Final answer
    x = 1,078,221.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.