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Finding the Third Proportional to 131,135 and 198,684

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Solution

The third proportional to 131,135 and 198,684 is: 301,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,135 : 198,684 = 198,684 : x
  2. Step 2: Convert to fraction form
    131,135/198,684 = 198,684/x
  3. Step 3: Cross multiply
    131,135x = 198,684 × 198,684
  4. Step 4: Simplify right side
    131,135x = 39,475,331,856
  5. Step 5: Solve for x
    x = 39,475,331,856/131,135
  6. Step 6: Final answer
    x = 301,028.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.