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Finding the Third Proportional to 128,104 and 205,832

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Solution

The third proportional to 128,104 and 205,832 is: 330,722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,104 : 205,832 = 205,832 : x
  2. Step 2: Convert to fraction form
    128,104/205,832 = 205,832/x
  3. Step 3: Cross multiply
    128,104x = 205,832 × 205,832
  4. Step 4: Simplify right side
    128,104x = 42,366,812,224
  5. Step 5: Solve for x
    x = 42,366,812,224/128,104
  6. Step 6: Final answer
    x = 330,722.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.