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Finding the Third Proportional to 149,718 and 324,866

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Solution

The third proportional to 149,718 and 324,866 is: 704,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,718 : 324,866 = 324,866 : x
  2. Step 2: Convert to fraction form
    149,718/324,866 = 324,866/x
  3. Step 3: Cross multiply
    149,718x = 324,866 × 324,866
  4. Step 4: Simplify right side
    149,718x = 105,537,917,956
  5. Step 5: Solve for x
    x = 105,537,917,956/149,718
  6. Step 6: Final answer
    x = 704,911.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.