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Finding the Third Proportional to 239,998 and 518,475

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Solution

The third proportional to 239,998 and 518,475 is: 1,120,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,998 : 518,475 = 518,475 : x
  2. Step 2: Convert to fraction form
    239,998/518,475 = 518,475/x
  3. Step 3: Cross multiply
    239,998x = 518,475 × 518,475
  4. Step 4: Simplify right side
    239,998x = 268,816,325,625
  5. Step 5: Solve for x
    x = 268,816,325,625/239,998
  6. Step 6: Final answer
    x = 1,120,077.36

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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.