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Finding the Third Proportional to 18,138.94 and 42,135.19

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Solution

The third proportional to 18,138.94 and 42,135.19 is: 97,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.94 : 42,135.19 = 42,135.19 : x
  2. Step 2: Convert to fraction form
    18,138.94/42,135.19 = 42,135.19/x
  3. Step 3: Cross multiply
    18,138.94x = 42,135.19 × 42,135.19
  4. Step 4: Simplify right side
    18,138.94x = 1,775,374,025.66
  5. Step 5: Solve for x
    x = 1,775,374,025.66/18,138.94
  6. Step 6: Final answer
    x = 97,876.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.