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Finding the Third Proportional to 999.66 and 1,512.09

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Solution

The third proportional to 999.66 and 1,512.09 is: 2,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.66 : 1,512.09 = 1,512.09 : x
  2. Step 2: Convert to fraction form
    999.66/1,512.09 = 1,512.09/x
  3. Step 3: Cross multiply
    999.66x = 1,512.09 × 1,512.09
  4. Step 4: Simplify right side
    999.66x = 2,286,427.51
  5. Step 5: Solve for x
    x = 2,286,427.51/999.66
  6. Step 6: Final answer
    x = 2,287.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.