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Finding the Third Proportional to 12,138 and 18,294.75

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Solution

The third proportional to 12,138 and 18,294.75 is: 27,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138 : 18,294.75 = 18,294.75 : x
  2. Step 2: Convert to fraction form
    12,138/18,294.75 = 18,294.75/x
  3. Step 3: Cross multiply
    12,138x = 18,294.75 × 18,294.75
  4. Step 4: Simplify right side
    12,138x = 334,697,877.56
  5. Step 5: Solve for x
    x = 334,697,877.56/12,138
  6. Step 6: Final answer
    x = 27,574.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.