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Finding the Third Proportional to 27,878 and 67,426

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Solution

The third proportional to 27,878 and 67,426 is: 163,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878 : 67,426 = 67,426 : x
  2. Step 2: Convert to fraction form
    27,878/67,426 = 67,426/x
  3. Step 3: Cross multiply
    27,878x = 67,426 × 67,426
  4. Step 4: Simplify right side
    27,878x = 4,546,265,476
  5. Step 5: Solve for x
    x = 4,546,265,476/27,878
  6. Step 6: Final answer
    x = 163,077.17

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.