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Finding the Third Proportional to 68,625 and 104,922

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Solution

The third proportional to 68,625 and 104,922 is: 160,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,625 : 104,922 = 104,922 : x
  2. Step 2: Convert to fraction form
    68,625/104,922 = 104,922/x
  3. Step 3: Cross multiply
    68,625x = 104,922 × 104,922
  4. Step 4: Simplify right side
    68,625x = 11,008,626,084
  5. Step 5: Solve for x
    x = 11,008,626,084/68,625
  6. Step 6: Final answer
    x = 160,417.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.