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Finding the Third Proportional to 68,794 and 109,457

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Solution

The third proportional to 68,794 and 109,457 is: 174,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,794 : 109,457 = 109,457 : x
  2. Step 2: Convert to fraction form
    68,794/109,457 = 109,457/x
  3. Step 3: Cross multiply
    68,794x = 109,457 × 109,457
  4. Step 4: Simplify right side
    68,794x = 11,980,834,849
  5. Step 5: Solve for x
    x = 11,980,834,849/68,794
  6. Step 6: Final answer
    x = 174,155.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.