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Finding the Third Proportional to 392,985 and 842,049

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Solution

The third proportional to 392,985 and 842,049 is: 1,804,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,985 : 842,049 = 842,049 : x
  2. Step 2: Convert to fraction form
    392,985/842,049 = 842,049/x
  3. Step 3: Cross multiply
    392,985x = 842,049 × 842,049
  4. Step 4: Simplify right side
    392,985x = 709,046,518,401
  5. Step 5: Solve for x
    x = 709,046,518,401/392,985
  6. Step 6: Final answer
    x = 1,804,258.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.