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Finding the Third Proportional to 131,661.75 and 198,655.88

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Solution

The third proportional to 131,661.75 and 198,655.88 is: 299,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,661.75 : 198,655.88 = 198,655.88 : x
  2. Step 2: Convert to fraction form
    131,661.75/198,655.88 = 198,655.88/x
  3. Step 3: Cross multiply
    131,661.75x = 198,655.88 × 198,655.88
  4. Step 4: Simplify right side
    131,661.75x = 39,464,156,672.02
  5. Step 5: Solve for x
    x = 39,464,156,672.02/131,661.75
  6. Step 6: Final answer
    x = 299,738.96

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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.