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Finding the Third Proportional to 999.42 and 2,190.80

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Solution

The third proportional to 999.42 and 2,190.80 is: 4,802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.42 : 2,190.80 = 2,190.80 : x
  2. Step 2: Convert to fraction form
    999.42/2,190.80 = 2,190.80/x
  3. Step 3: Cross multiply
    999.42x = 2,190.80 × 2,190.80
  4. Step 4: Simplify right side
    999.42x = 4,799,590.95
  5. Step 5: Solve for x
    x = 4,799,590.95/999.42
  6. Step 6: Final answer
    x = 4,802.37

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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.