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Finding the Third Proportional to 92,646 and 199,980

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Solution

The third proportional to 92,646 and 199,980 is: 431,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,646 : 199,980 = 199,980 : x
  2. Step 2: Convert to fraction form
    92,646/199,980 = 199,980/x
  3. Step 3: Cross multiply
    92,646x = 199,980 × 199,980
  4. Step 4: Simplify right side
    92,646x = 39,992,000,400
  5. Step 5: Solve for x
    x = 39,992,000,400/92,646
  6. Step 6: Final answer
    x = 431,664.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.