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Finding the Third Proportional to 71,774 and 110,172

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Solution

The third proportional to 71,774 and 110,172 is: 169,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,774 : 110,172 = 110,172 : x
  2. Step 2: Convert to fraction form
    71,774/110,172 = 110,172/x
  3. Step 3: Cross multiply
    71,774x = 110,172 × 110,172
  4. Step 4: Simplify right side
    71,774x = 12,137,869,584
  5. Step 5: Solve for x
    x = 12,137,869,584/71,774
  6. Step 6: Final answer
    x = 169,112.35

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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.