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Finding the Third Proportional to 128,298 and 198,672.75

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Solution

The third proportional to 128,298 and 198,672.75 is: 307,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,298 : 198,672.75 = 198,672.75 : x
  2. Step 2: Convert to fraction form
    128,298/198,672.75 = 198,672.75/x
  3. Step 3: Cross multiply
    128,298x = 198,672.75 × 198,672.75
  4. Step 4: Simplify right side
    128,298x = 39,470,861,592.56
  5. Step 5: Solve for x
    x = 39,470,861,592.56/128,298
  6. Step 6: Final answer
    x = 307,649.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.