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Finding the Third Proportional to 240,078 and 515,740

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Solution

The third proportional to 240,078 and 515,740 is: 1,107,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,078 : 515,740 = 515,740 : x
  2. Step 2: Convert to fraction form
    240,078/515,740 = 515,740/x
  3. Step 3: Cross multiply
    240,078x = 515,740 × 515,740
  4. Step 4: Simplify right side
    240,078x = 265,987,747,600
  5. Step 5: Solve for x
    x = 265,987,747,600/240,078
  6. Step 6: Final answer
    x = 1,107,922.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.