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Finding the Third Proportional to 385,293 and 836,242

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Solution

The third proportional to 385,293 and 836,242 is: 1,814,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,293 : 836,242 = 836,242 : x
  2. Step 2: Convert to fraction form
    385,293/836,242 = 836,242/x
  3. Step 3: Cross multiply
    385,293x = 836,242 × 836,242
  4. Step 4: Simplify right side
    385,293x = 699,300,682,564
  5. Step 5: Solve for x
    x = 699,300,682,564/385,293
  6. Step 6: Final answer
    x = 1,814,984.14

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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.