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Finding the Third Proportional to 12,122.16 and 18,722.39

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Solution

The third proportional to 12,122.16 and 18,722.39 is: 28,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.16 : 18,722.39 = 18,722.39 : x
  2. Step 2: Convert to fraction form
    12,122.16/18,722.39 = 18,722.39/x
  3. Step 3: Cross multiply
    12,122.16x = 18,722.39 × 18,722.39
  4. Step 4: Simplify right side
    12,122.16x = 350,527,910.72
  5. Step 5: Solve for x
    x = 350,527,910.72/12,122.16
  6. Step 6: Final answer
    x = 28,916.30

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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.