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Finding the Third Proportional to 7,878 and 18,135

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Solution

The third proportional to 7,878 and 18,135 is: 41,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878 : 18,135 = 18,135 : x
  2. Step 2: Convert to fraction form
    7,878/18,135 = 18,135/x
  3. Step 3: Cross multiply
    7,878x = 18,135 × 18,135
  4. Step 4: Simplify right side
    7,878x = 328,878,225
  5. Step 5: Solve for x
    x = 328,878,225/7,878
  6. Step 6: Final answer
    x = 41,746.41

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.