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Finding the Third Proportional to 128,367 and 199,546.88

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Solution

The third proportional to 128,367 and 199,546.88 is: 310,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,367 : 199,546.88 = 199,546.88 : x
  2. Step 2: Convert to fraction form
    128,367/199,546.88 = 199,546.88/x
  3. Step 3: Cross multiply
    128,367x = 199,546.88 × 199,546.88
  4. Step 4: Simplify right side
    128,367x = 39,818,955,322.27
  5. Step 5: Solve for x
    x = 39,818,955,322.27/128,367
  6. Step 6: Final answer
    x = 310,196.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.