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Finding the Third Proportional to 7,878 and 17,628

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Solution

The third proportional to 7,878 and 17,628 is: 39,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878 : 17,628 = 17,628 : x
  2. Step 2: Convert to fraction form
    7,878/17,628 = 17,628/x
  3. Step 3: Cross multiply
    7,878x = 17,628 × 17,628
  4. Step 4: Simplify right side
    7,878x = 310,746,384
  5. Step 5: Solve for x
    x = 310,746,384/7,878
  6. Step 6: Final answer
    x = 39,444.83

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.