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Finding the Third Proportional to 90,939 and 198,793.50

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Solution

The third proportional to 90,939 and 198,793.50 is: 434,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,939 : 198,793.50 = 198,793.50 : x
  2. Step 2: Convert to fraction form
    90,939/198,793.50 = 198,793.50/x
  3. Step 3: Cross multiply
    90,939x = 198,793.50 × 198,793.50
  4. Step 4: Simplify right side
    90,939x = 39,518,855,642.25
  5. Step 5: Solve for x
    x = 39,518,855,642.25/90,939
  6. Step 6: Final answer
    x = 434,564.44

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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.