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Finding the Third Proportional to 90,495 and 198,759

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Solution

The third proportional to 90,495 and 198,759 is: 436,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,495 : 198,759 = 198,759 : x
  2. Step 2: Convert to fraction form
    90,495/198,759 = 198,759/x
  3. Step 3: Cross multiply
    90,495x = 198,759 × 198,759
  4. Step 4: Simplify right side
    90,495x = 39,505,140,081
  5. Step 5: Solve for x
    x = 39,505,140,081/90,495
  6. Step 6: Final answer
    x = 436,545.00

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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.