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Finding the Third Proportional to 2,698.31 and 4,143.66

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Solution

The third proportional to 2,698.31 and 4,143.66 is: 6,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.31 : 4,143.66 = 4,143.66 : x
  2. Step 2: Convert to fraction form
    2,698.31/4,143.66 = 4,143.66/x
  3. Step 3: Cross multiply
    2,698.31x = 4,143.66 × 4,143.66
  4. Step 4: Simplify right side
    2,698.31x = 17,169,887.12
  5. Step 5: Solve for x
    x = 17,169,887.12/2,698.31
  6. Step 6: Final answer
    x = 6,363.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.