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Finding the Third Proportional to 399,600 and 836,140

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Solution

The third proportional to 399,600 and 836,140 is: 1,749,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,600 : 836,140 = 836,140 : x
  2. Step 2: Convert to fraction form
    399,600/836,140 = 836,140/x
  3. Step 3: Cross multiply
    399,600x = 836,140 × 836,140
  4. Step 4: Simplify right side
    399,600x = 699,130,099,600
  5. Step 5: Solve for x
    x = 699,130,099,600/399,600
  6. Step 6: Final answer
    x = 1,749,574.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.