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Finding the Third Proportional to 3,862.69 and 4,260.09

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Solution

The third proportional to 3,862.69 and 4,260.09 is: 4,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 4,260.09 = 4,260.09 : x
  2. Step 2: Convert to fraction form
    3,862.69/4,260.09 = 4,260.09/x
  3. Step 3: Cross multiply
    3,862.69x = 4,260.09 × 4,260.09
  4. Step 4: Simplify right side
    3,862.69x = 18,148,398.76
  5. Step 5: Solve for x
    x = 18,148,398.76/3,862.69
  6. Step 6: Final answer
    x = 4,698.39

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.