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Finding the Third Proportional to 2,143.97 and 2,641.36

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Solution

The third proportional to 2,143.97 and 2,641.36 is: 3,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.97 : 2,641.36 = 2,641.36 : x
  2. Step 2: Convert to fraction form
    2,143.97/2,641.36 = 2,641.36/x
  3. Step 3: Cross multiply
    2,143.97x = 2,641.36 × 2,641.36
  4. Step 4: Simplify right side
    2,143.97x = 6,976,779.35
  5. Step 5: Solve for x
    x = 6,976,779.35/2,143.97
  6. Step 6: Final answer
    x = 3,254.14

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.