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Finding the Third Proportional to 89,126 and 193,621

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Solution

The third proportional to 89,126 and 193,621 is: 420,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,126 : 193,621 = 193,621 : x
  2. Step 2: Convert to fraction form
    89,126/193,621 = 193,621/x
  3. Step 3: Cross multiply
    89,126x = 193,621 × 193,621
  4. Step 4: Simplify right side
    89,126x = 37,489,091,641
  5. Step 5: Solve for x
    x = 37,489,091,641/89,126
  6. Step 6: Final answer
    x = 420,630.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.