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Finding the Third Proportional to 401,393 and 842,191

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Solution

The third proportional to 401,393 and 842,191 is: 1,767,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,393 : 842,191 = 842,191 : x
  2. Step 2: Convert to fraction form
    401,393/842,191 = 842,191/x
  3. Step 3: Cross multiply
    401,393x = 842,191 × 842,191
  4. Step 4: Simplify right side
    401,393x = 709,285,680,481
  5. Step 5: Solve for x
    x = 709,285,680,481/401,393
  6. Step 6: Final answer
    x = 1,767,060.41

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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.