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Finding the Third Proportional to 258,986 and 399,981

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Solution

The third proportional to 258,986 and 399,981 is: 617,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,986 : 399,981 = 399,981 : x
  2. Step 2: Convert to fraction form
    258,986/399,981 = 399,981/x
  3. Step 3: Cross multiply
    258,986x = 399,981 × 399,981
  4. Step 4: Simplify right side
    258,986x = 159,984,800,361
  5. Step 5: Solve for x
    x = 159,984,800,361/258,986
  6. Step 6: Final answer
    x = 617,735.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.