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Finding the Third Proportional to 2,324.11 and 3,312.98

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Solution

The third proportional to 2,324.11 and 3,312.98 is: 4,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.11 : 3,312.98 = 3,312.98 : x
  2. Step 2: Convert to fraction form
    2,324.11/3,312.98 = 3,312.98/x
  3. Step 3: Cross multiply
    2,324.11x = 3,312.98 × 3,312.98
  4. Step 4: Simplify right side
    2,324.11x = 10,975,865.47
  5. Step 5: Solve for x
    x = 10,975,865.47/2,324.11
  6. Step 6: Final answer
    x = 4,722.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.