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Finding the Third Proportional to 71,450 and 109,646

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Solution

The third proportional to 71,450 and 109,646 is: 168,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,450 : 109,646 = 109,646 : x
  2. Step 2: Convert to fraction form
    71,450/109,646 = 109,646/x
  3. Step 3: Cross multiply
    71,450x = 109,646 × 109,646
  4. Step 4: Simplify right side
    71,450x = 12,022,245,316
  5. Step 5: Solve for x
    x = 12,022,245,316/71,450
  6. Step 6: Final answer
    x = 168,260.96

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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.