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Finding the Third Proportional to 135,815 and 295,243

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Solution

The third proportional to 135,815 and 295,243 is: 641,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,815 : 295,243 = 295,243 : x
  2. Step 2: Convert to fraction form
    135,815/295,243 = 295,243/x
  3. Step 3: Cross multiply
    135,815x = 295,243 × 295,243
  4. Step 4: Simplify right side
    135,815x = 87,168,429,049
  5. Step 5: Solve for x
    x = 87,168,429,049/135,815
  6. Step 6: Final answer
    x = 641,817.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.