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Finding the Third Proportional to 221,922 and 485,361

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Solution

The third proportional to 221,922 and 485,361 is: 1,061,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,922 : 485,361 = 485,361 : x
  2. Step 2: Convert to fraction form
    221,922/485,361 = 485,361/x
  3. Step 3: Cross multiply
    221,922x = 485,361 × 485,361
  4. Step 4: Simplify right side
    221,922x = 235,575,300,321
  5. Step 5: Solve for x
    x = 235,575,300,321/221,922
  6. Step 6: Final answer
    x = 1,061,522.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.