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Finding the Third Proportional to 240,426 and 519,390

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Solution

The third proportional to 240,426 and 519,390 is: 1,122,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,426 : 519,390 = 519,390 : x
  2. Step 2: Convert to fraction form
    240,426/519,390 = 519,390/x
  3. Step 3: Cross multiply
    240,426x = 519,390 × 519,390
  4. Step 4: Simplify right side
    240,426x = 269,765,972,100
  5. Step 5: Solve for x
    x = 269,765,972,100/240,426
  6. Step 6: Final answer
    x = 1,122,033.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.