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Finding the Third Proportional to 395,736 and 876,840

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Solution

The third proportional to 395,736 and 876,840 is: 1,942,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,736 : 876,840 = 876,840 : x
  2. Step 2: Convert to fraction form
    395,736/876,840 = 876,840/x
  3. Step 3: Cross multiply
    395,736x = 876,840 × 876,840
  4. Step 4: Simplify right side
    395,736x = 768,848,385,600
  5. Step 5: Solve for x
    x = 768,848,385,600/395,736
  6. Step 6: Final answer
    x = 1,942,831.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.