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Finding the Third Proportional to 100,573.50 and 198,579.75

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Solution

The third proportional to 100,573.50 and 198,579.75 is: 392,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,573.50 : 198,579.75 = 198,579.75 : x
  2. Step 2: Convert to fraction form
    100,573.50/198,579.75 = 198,579.75/x
  3. Step 3: Cross multiply
    100,573.50x = 198,579.75 × 198,579.75
  4. Step 4: Simplify right side
    100,573.50x = 39,433,917,110.06
  5. Step 5: Solve for x
    x = 39,433,917,110.06/100,573.50
  6. Step 6: Final answer
    x = 392,090.53

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.