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Finding the Third Proportional to 90,680 and 210,800

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Solution

The third proportional to 90,680 and 210,800 is: 490,037.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,680 : 210,800 = 210,800 : x
  2. Step 2: Convert to fraction form
    90,680/210,800 = 210,800/x
  3. Step 3: Cross multiply
    90,680x = 210,800 × 210,800
  4. Step 4: Simplify right side
    90,680x = 44,436,640,000
  5. Step 5: Solve for x
    x = 44,436,640,000/90,680
  6. Step 6: Final answer
    x = 490,037.94

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.