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Finding the Third Proportional to 2,121.19 and 2,685.66

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Solution

The third proportional to 2,121.19 and 2,685.66 is: 3,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.19 : 2,685.66 = 2,685.66 : x
  2. Step 2: Convert to fraction form
    2,121.19/2,685.66 = 2,685.66/x
  3. Step 3: Cross multiply
    2,121.19x = 2,685.66 × 2,685.66
  4. Step 4: Simplify right side
    2,121.19x = 7,212,749.49
  5. Step 5: Solve for x
    x = 7,212,749.49/2,121.19
  6. Step 6: Final answer
    x = 3,400.34

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.