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Finding the Third Proportional to 220,825 and 478,990

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Solution

The third proportional to 220,825 and 478,990 is: 1,038,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,825 : 478,990 = 478,990 : x
  2. Step 2: Convert to fraction form
    220,825/478,990 = 478,990/x
  3. Step 3: Cross multiply
    220,825x = 478,990 × 478,990
  4. Step 4: Simplify right side
    220,825x = 229,431,420,100
  5. Step 5: Solve for x
    x = 229,431,420,100/220,825
  6. Step 6: Final answer
    x = 1,038,973.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.