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Finding the Third Proportional to 128,998.41 and 189,705.94

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Solution

The third proportional to 128,998.41 and 189,705.94 is: 278,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,998.41 : 189,705.94 = 189,705.94 : x
  2. Step 2: Convert to fraction form
    128,998.41/189,705.94 = 189,705.94/x
  3. Step 3: Cross multiply
    128,998.41x = 189,705.94 × 189,705.94
  4. Step 4: Simplify right side
    128,998.41x = 35,988,342,722.75
  5. Step 5: Solve for x
    x = 35,988,342,722.75/128,998.41
  6. Step 6: Final answer
    x = 278,982.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.