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Finding the Third Proportional to 128,344.38 and 199,516.88

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Solution

The third proportional to 128,344.38 and 199,516.88 is: 310,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,344.38 : 199,516.88 = 199,516.88 : x
  2. Step 2: Convert to fraction form
    128,344.38/199,516.88 = 199,516.88/x
  3. Step 3: Cross multiply
    128,344.38x = 199,516.88 × 199,516.88
  4. Step 4: Simplify right side
    128,344.38x = 39,806,983,409.77
  5. Step 5: Solve for x
    x = 39,806,983,409.77/128,344.38
  6. Step 6: Final answer
    x = 310,157.60

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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.