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Finding the Third Proportional to 2,100.28 and 3,102.42

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Solution

The third proportional to 2,100.28 and 3,102.42 is: 4,582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.28 : 3,102.42 = 3,102.42 : x
  2. Step 2: Convert to fraction form
    2,100.28/3,102.42 = 3,102.42/x
  3. Step 3: Cross multiply
    2,100.28x = 3,102.42 × 3,102.42
  4. Step 4: Simplify right side
    2,100.28x = 9,625,021.49
  5. Step 5: Solve for x
    x = 9,625,021.49/2,100.28
  6. Step 6: Final answer
    x = 4,582.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.