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Finding the Third Proportional to 2,160.75 and 3,551.63

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Solution

The third proportional to 2,160.75 and 3,551.63 is: 5,837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.75 : 3,551.63 = 3,551.63 : x
  2. Step 2: Convert to fraction form
    2,160.75/3,551.63 = 3,551.63/x
  3. Step 3: Cross multiply
    2,160.75x = 3,551.63 × 3,551.63
  4. Step 4: Simplify right side
    2,160.75x = 12,614,040.14
  5. Step 5: Solve for x
    x = 12,614,040.14/2,160.75
  6. Step 6: Final answer
    x = 5,837.81

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.