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Finding the Third Proportional to 392,058 and 842,436

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Solution

The third proportional to 392,058 and 842,436 is: 1,810,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,058 : 842,436 = 842,436 : x
  2. Step 2: Convert to fraction form
    392,058/842,436 = 842,436/x
  3. Step 3: Cross multiply
    392,058x = 842,436 × 842,436
  4. Step 4: Simplify right side
    392,058x = 709,698,414,096
  5. Step 5: Solve for x
    x = 709,698,414,096/392,058
  6. Step 6: Final answer
    x = 1,810,187.30

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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.