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Finding the Third Proportional to 7,878 and 17,574

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Solution

The third proportional to 7,878 and 17,574 is: 39,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878 : 17,574 = 17,574 : x
  2. Step 2: Convert to fraction form
    7,878/17,574 = 17,574/x
  3. Step 3: Cross multiply
    7,878x = 17,574 × 17,574
  4. Step 4: Simplify right side
    7,878x = 308,845,476
  5. Step 5: Solve for x
    x = 308,845,476/7,878
  6. Step 6: Final answer
    x = 39,203.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.