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Finding the Third Proportional to 258,954 and 564,990

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Solution

The third proportional to 258,954 and 564,990 is: 1,232,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,954 : 564,990 = 564,990 : x
  2. Step 2: Convert to fraction form
    258,954/564,990 = 564,990/x
  3. Step 3: Cross multiply
    258,954x = 564,990 × 564,990
  4. Step 4: Simplify right side
    258,954x = 319,213,700,100
  5. Step 5: Solve for x
    x = 319,213,700,100/258,954
  6. Step 6: Final answer
    x = 1,232,704.26

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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.