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Finding the Third Proportional to 128,928.94 and 197,099.16

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Solution

The third proportional to 128,928.94 and 197,099.16 is: 301,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,928.94 : 197,099.16 = 197,099.16 : x
  2. Step 2: Convert to fraction form
    128,928.94/197,099.16 = 197,099.16/x
  3. Step 3: Cross multiply
    128,928.94x = 197,099.16 × 197,099.16
  4. Step 4: Simplify right side
    128,928.94x = 38,848,077,394.46
  5. Step 5: Solve for x
    x = 38,848,077,394.46/128,928.94
  6. Step 6: Final answer
    x = 301,313.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.