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Finding the Third Proportional to 75,718 and 106,172

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Solution

The third proportional to 75,718 and 106,172 is: 148,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,718 : 106,172 = 106,172 : x
  2. Step 2: Convert to fraction form
    75,718/106,172 = 106,172/x
  3. Step 3: Cross multiply
    75,718x = 106,172 × 106,172
  4. Step 4: Simplify right side
    75,718x = 11,272,493,584
  5. Step 5: Solve for x
    x = 11,272,493,584/75,718
  6. Step 6: Final answer
    x = 148,874.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.