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Finding the Third Proportional to 221,192 and 483,779

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Solution

The third proportional to 221,192 and 483,779 is: 1,058,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,192 : 483,779 = 483,779 : x
  2. Step 2: Convert to fraction form
    221,192/483,779 = 483,779/x
  3. Step 3: Cross multiply
    221,192x = 483,779 × 483,779
  4. Step 4: Simplify right side
    221,192x = 234,042,120,841
  5. Step 5: Solve for x
    x = 234,042,120,841/221,192
  6. Step 6: Final answer
    x = 1,058,094.87

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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.