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Finding the Third Proportional to 387,390 and 843,400

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Solution

The third proportional to 387,390 and 843,400 is: 1,836,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,390 : 843,400 = 843,400 : x
  2. Step 2: Convert to fraction form
    387,390/843,400 = 843,400/x
  3. Step 3: Cross multiply
    387,390x = 843,400 × 843,400
  4. Step 4: Simplify right side
    387,390x = 711,323,560,000
  5. Step 5: Solve for x
    x = 711,323,560,000/387,390
  6. Step 6: Final answer
    x = 1,836,194.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.