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Finding the Third Proportional to 68,567 and 109,491

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Solution

The third proportional to 68,567 and 109,491 is: 174,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,567 : 109,491 = 109,491 : x
  2. Step 2: Convert to fraction form
    68,567/109,491 = 109,491/x
  3. Step 3: Cross multiply
    68,567x = 109,491 × 109,491
  4. Step 4: Simplify right side
    68,567x = 11,988,279,081
  5. Step 5: Solve for x
    x = 11,988,279,081/68,567
  6. Step 6: Final answer
    x = 174,840.36

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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.