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Finding the Third Proportional to 999.53 and 2,191.27

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Solution

The third proportional to 999.53 and 2,191.27 is: 4,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.53 : 2,191.27 = 2,191.27 : x
  2. Step 2: Convert to fraction form
    999.53/2,191.27 = 2,191.27/x
  3. Step 3: Cross multiply
    999.53x = 2,191.27 × 2,191.27
  4. Step 4: Simplify right side
    999.53x = 4,801,670.72
  5. Step 5: Solve for x
    x = 4,801,670.72/999.53
  6. Step 6: Final answer
    x = 4,803.94

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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.