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Finding the Third Proportional to 999.28 and 2,148.47

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Solution

The third proportional to 999.28 and 2,148.47 is: 4,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.28 : 2,148.47 = 2,148.47 : x
  2. Step 2: Convert to fraction form
    999.28/2,148.47 = 2,148.47/x
  3. Step 3: Cross multiply
    999.28x = 2,148.47 × 2,148.47
  4. Step 4: Simplify right side
    999.28x = 4,615,917.97
  5. Step 5: Solve for x
    x = 4,615,917.97/999.28
  6. Step 6: Final answer
    x = 4,619.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.