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Finding the Third Proportional to 128,757 and 198,972

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Solution

The third proportional to 128,757 and 198,972 is: 307,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,757 : 198,972 = 198,972 : x
  2. Step 2: Convert to fraction form
    128,757/198,972 = 198,972/x
  3. Step 3: Cross multiply
    128,757x = 198,972 × 198,972
  4. Step 4: Simplify right side
    128,757x = 39,589,856,784
  5. Step 5: Solve for x
    x = 39,589,856,784/128,757
  6. Step 6: Final answer
    x = 307,477.32

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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.