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Finding the Third Proportional to 7,878 and 18,582

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Solution

The third proportional to 7,878 and 18,582 is: 43,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878 : 18,582 = 18,582 : x
  2. Step 2: Convert to fraction form
    7,878/18,582 = 18,582/x
  3. Step 3: Cross multiply
    7,878x = 18,582 × 18,582
  4. Step 4: Simplify right side
    7,878x = 345,290,724
  5. Step 5: Solve for x
    x = 345,290,724/7,878
  6. Step 6: Final answer
    x = 43,829.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.