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Finding the Third Proportional to 2,289.52 and 4,833.42

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Solution

The third proportional to 2,289.52 and 4,833.42 is: 10,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.52 : 4,833.42 = 4,833.42 : x
  2. Step 2: Convert to fraction form
    2,289.52/4,833.42 = 4,833.42/x
  3. Step 3: Cross multiply
    2,289.52x = 4,833.42 × 4,833.42
  4. Step 4: Simplify right side
    2,289.52x = 23,361,967.02
  5. Step 5: Solve for x
    x = 23,361,967.02/2,289.52
  6. Step 6: Final answer
    x = 10,203.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.