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Finding the Third Proportional to 388,576 and 836,201

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Solution

The third proportional to 388,576 and 836,201 is: 1,799,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,576 : 836,201 = 836,201 : x
  2. Step 2: Convert to fraction form
    388,576/836,201 = 836,201/x
  3. Step 3: Cross multiply
    388,576x = 836,201 × 836,201
  4. Step 4: Simplify right side
    388,576x = 699,232,112,401
  5. Step 5: Solve for x
    x = 699,232,112,401/388,576
  6. Step 6: Final answer
    x = 1,799,473.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.