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Finding the Third Proportional to 204,150 and 435,381

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Solution

The third proportional to 204,150 and 435,381 is: 928,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,150 : 435,381 = 435,381 : x
  2. Step 2: Convert to fraction form
    204,150/435,381 = 435,381/x
  3. Step 3: Cross multiply
    204,150x = 435,381 × 435,381
  4. Step 4: Simplify right side
    204,150x = 189,556,615,161
  5. Step 5: Solve for x
    x = 189,556,615,161/204,150
  6. Step 6: Final answer
    x = 928,516.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.