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Finding the Third Proportional to 401,392 and 842,189

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Solution

The third proportional to 401,392 and 842,189 is: 1,767,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,392 : 842,189 = 842,189 : x
  2. Step 2: Convert to fraction form
    401,392/842,189 = 842,189/x
  3. Step 3: Cross multiply
    401,392x = 842,189 × 842,189
  4. Step 4: Simplify right side
    401,392x = 709,282,311,721
  5. Step 5: Solve for x
    x = 709,282,311,721/401,392
  6. Step 6: Final answer
    x = 1,767,056.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.