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Finding the Third Proportional to 343,998 and 518,015

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Solution

The third proportional to 343,998 and 518,015 is: 780,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,998 : 518,015 = 518,015 : x
  2. Step 2: Convert to fraction form
    343,998/518,015 = 518,015/x
  3. Step 3: Cross multiply
    343,998x = 518,015 × 518,015
  4. Step 4: Simplify right side
    343,998x = 268,339,540,225
  5. Step 5: Solve for x
    x = 268,339,540,225/343,998
  6. Step 6: Final answer
    x = 780,061.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.