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Finding the Third Proportional to 258,500 and 540,544

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Solution

The third proportional to 258,500 and 540,544 is: 1,130,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,500 : 540,544 = 540,544 : x
  2. Step 2: Convert to fraction form
    258,500/540,544 = 540,544/x
  3. Step 3: Cross multiply
    258,500x = 540,544 × 540,544
  4. Step 4: Simplify right side
    258,500x = 292,187,815,936
  5. Step 5: Solve for x
    x = 292,187,815,936/258,500
  6. Step 6: Final answer
    x = 1,130,320.37

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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.