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Finding the Third Proportional to 128,394 and 185,895

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Solution

The third proportional to 128,394 and 185,895 is: 269,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,394 : 185,895 = 185,895 : x
  2. Step 2: Convert to fraction form
    128,394/185,895 = 185,895/x
  3. Step 3: Cross multiply
    128,394x = 185,895 × 185,895
  4. Step 4: Simplify right side
    128,394x = 34,556,951,025
  5. Step 5: Solve for x
    x = 34,556,951,025/128,394
  6. Step 6: Final answer
    x = 269,147.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.