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Finding the Third Proportional to 912.75 and 1,999.88

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Solution

The third proportional to 912.75 and 1,999.88 is: 4,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.75 : 1,999.88 = 1,999.88 : x
  2. Step 2: Convert to fraction form
    912.75/1,999.88 = 1,999.88/x
  3. Step 3: Cross multiply
    912.75x = 1,999.88 × 1,999.88
  4. Step 4: Simplify right side
    912.75x = 3,999,500.02
  5. Step 5: Solve for x
    x = 3,999,500.02/912.75
  6. Step 6: Final answer
    x = 4,381.81

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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.