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Finding the Third Proportional to 258,544 and 540,512

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Solution

The third proportional to 258,544 and 540,512 is: 1,129,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,544 : 540,512 = 540,512 : x
  2. Step 2: Convert to fraction form
    258,544/540,512 = 540,512/x
  3. Step 3: Cross multiply
    258,544x = 540,512 × 540,512
  4. Step 4: Simplify right side
    258,544x = 292,153,222,144
  5. Step 5: Solve for x
    x = 292,153,222,144/258,544
  6. Step 6: Final answer
    x = 1,129,994.21

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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.