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Finding the Third Proportional to 221,912 and 485,341

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Solution

The third proportional to 221,912 and 485,341 is: 1,061,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,912 : 485,341 = 485,341 : x
  2. Step 2: Convert to fraction form
    221,912/485,341 = 485,341/x
  3. Step 3: Cross multiply
    221,912x = 485,341 × 485,341
  4. Step 4: Simplify right side
    221,912x = 235,555,886,281
  5. Step 5: Solve for x
    x = 235,555,886,281/221,912
  6. Step 6: Final answer
    x = 1,061,483.32

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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.