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Finding the Third Proportional to 128,516.63 and 200,976.19

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Solution

The third proportional to 128,516.63 and 200,976.19 is: 314,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,516.63 : 200,976.19 = 200,976.19 : x
  2. Step 2: Convert to fraction form
    128,516.63/200,976.19 = 200,976.19/x
  3. Step 3: Cross multiply
    128,516.63x = 200,976.19 × 200,976.19
  4. Step 4: Simplify right side
    128,516.63x = 40,391,427,942.04
  5. Step 5: Solve for x
    x = 40,391,427,942.04/128,516.63
  6. Step 6: Final answer
    x = 314,289.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.