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Finding the Third Proportional to 128,072 and 188,796

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Solution

The third proportional to 128,072 and 188,796 is: 278,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,072 : 188,796 = 188,796 : x
  2. Step 2: Convert to fraction form
    128,072/188,796 = 188,796/x
  3. Step 3: Cross multiply
    128,072x = 188,796 × 188,796
  4. Step 4: Simplify right side
    128,072x = 35,643,929,616
  5. Step 5: Solve for x
    x = 35,643,929,616/128,072
  6. Step 6: Final answer
    x = 278,311.65

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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.