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Finding the Third Proportional to 154,695 and 322,782

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Solution

The third proportional to 154,695 and 322,782 is: 673,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,695 : 322,782 = 322,782 : x
  2. Step 2: Convert to fraction form
    154,695/322,782 = 322,782/x
  3. Step 3: Cross multiply
    154,695x = 322,782 × 322,782
  4. Step 4: Simplify right side
    154,695x = 104,188,219,524
  5. Step 5: Solve for x
    x = 104,188,219,524/154,695
  6. Step 6: Final answer
    x = 673,507.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.