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Finding the Third Proportional to 2,029.90 and 4,221.18

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Solution

The third proportional to 2,029.90 and 4,221.18 is: 8,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.90 : 4,221.18 = 4,221.18 : x
  2. Step 2: Convert to fraction form
    2,029.90/4,221.18 = 4,221.18/x
  3. Step 3: Cross multiply
    2,029.90x = 4,221.18 × 4,221.18
  4. Step 4: Simplify right side
    2,029.90x = 17,818,324.98
  5. Step 5: Solve for x
    x = 17,818,324.98/2,029.90
  6. Step 6: Final answer
    x = 8,777.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.