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Finding the Third Proportional to 90,509 and 198,861

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Solution

The third proportional to 90,509 and 198,861 is: 436,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,509 : 198,861 = 198,861 : x
  2. Step 2: Convert to fraction form
    90,509/198,861 = 198,861/x
  3. Step 3: Cross multiply
    90,509x = 198,861 × 198,861
  4. Step 4: Simplify right side
    90,509x = 39,545,697,321
  5. Step 5: Solve for x
    x = 39,545,697,321/90,509
  6. Step 6: Final answer
    x = 436,925.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.