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Finding the Third Proportional to 131,760 and 198,798

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Solution

The third proportional to 131,760 and 198,798 is: 299,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,760 : 198,798 = 198,798 : x
  2. Step 2: Convert to fraction form
    131,760/198,798 = 198,798/x
  3. Step 3: Cross multiply
    131,760x = 198,798 × 198,798
  4. Step 4: Simplify right side
    131,760x = 39,520,644,804
  5. Step 5: Solve for x
    x = 39,520,644,804/131,760
  6. Step 6: Final answer
    x = 299,944.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.