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Finding the Third Proportional to 68,404 and 109,278

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Solution

The third proportional to 68,404 and 109,278 is: 174,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,404 : 109,278 = 109,278 : x
  2. Step 2: Convert to fraction form
    68,404/109,278 = 109,278/x
  3. Step 3: Cross multiply
    68,404x = 109,278 × 109,278
  4. Step 4: Simplify right side
    68,404x = 11,941,681,284
  5. Step 5: Solve for x
    x = 11,941,681,284/68,404
  6. Step 6: Final answer
    x = 174,575.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.