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Finding the Third Proportional to 131,163 and 198,304.50

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Solution

The third proportional to 131,163 and 198,304.50 is: 299,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,163 : 198,304.50 = 198,304.50 : x
  2. Step 2: Convert to fraction form
    131,163/198,304.50 = 198,304.50/x
  3. Step 3: Cross multiply
    131,163x = 198,304.50 × 198,304.50
  4. Step 4: Simplify right side
    131,163x = 39,324,674,720.25
  5. Step 5: Solve for x
    x = 39,324,674,720.25/131,163
  6. Step 6: Final answer
    x = 299,815.30

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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.