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Finding the Third Proportional to 90,276 and 199,236

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Solution

The third proportional to 90,276 and 199,236 is: 439,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,276 : 199,236 = 199,236 : x
  2. Step 2: Convert to fraction form
    90,276/199,236 = 199,236/x
  3. Step 3: Cross multiply
    90,276x = 199,236 × 199,236
  4. Step 4: Simplify right side
    90,276x = 39,694,983,696
  5. Step 5: Solve for x
    x = 39,694,983,696/90,276
  6. Step 6: Final answer
    x = 439,706.94

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.