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Finding the Third Proportional to 131,651.50 and 198,636

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Solution

The third proportional to 131,651.50 and 198,636 is: 299,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,651.50 : 198,636 = 198,636 : x
  2. Step 2: Convert to fraction form
    131,651.50/198,636 = 198,636/x
  3. Step 3: Cross multiply
    131,651.50x = 198,636 × 198,636
  4. Step 4: Simplify right side
    131,651.50x = 39,456,260,496
  5. Step 5: Solve for x
    x = 39,456,260,496/131,651.50
  6. Step 6: Final answer
    x = 299,702.32

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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.