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Finding the Third Proportional to 92,990 and 203,368

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Solution

The third proportional to 92,990 and 203,368 is: 444,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,990 : 203,368 = 203,368 : x
  2. Step 2: Convert to fraction form
    92,990/203,368 = 203,368/x
  3. Step 3: Cross multiply
    92,990x = 203,368 × 203,368
  4. Step 4: Simplify right side
    92,990x = 41,358,543,424
  5. Step 5: Solve for x
    x = 41,358,543,424/92,990
  6. Step 6: Final answer
    x = 444,763.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.