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Finding the Third Proportional to 317,305 and 692,493

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Solution

The third proportional to 317,305 and 692,493 is: 1,511,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,305 : 692,493 = 692,493 : x
  2. Step 2: Convert to fraction form
    317,305/692,493 = 692,493/x
  3. Step 3: Cross multiply
    317,305x = 692,493 × 692,493
  4. Step 4: Simplify right side
    317,305x = 479,546,555,049
  5. Step 5: Solve for x
    x = 479,546,555,049/317,305
  6. Step 6: Final answer
    x = 1,511,311.06

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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.