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Finding the Third Proportional to 128,175.75 and 198,981.56

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Solution

The third proportional to 128,175.75 and 198,981.56 is: 308,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,175.75 : 198,981.56 = 198,981.56 : x
  2. Step 2: Convert to fraction form
    128,175.75/198,981.56 = 198,981.56/x
  3. Step 3: Cross multiply
    128,175.75x = 198,981.56 × 198,981.56
  4. Step 4: Simplify right side
    128,175.75x = 39,593,662,214.94
  5. Step 5: Solve for x
    x = 39,593,662,214.94/128,175.75
  6. Step 6: Final answer
    x = 308,901.35

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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.