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Finding the Third Proportional to 334,098 and 518,121

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Solution

The third proportional to 334,098 and 518,121 is: 803,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,098 : 518,121 = 518,121 : x
  2. Step 2: Convert to fraction form
    334,098/518,121 = 518,121/x
  3. Step 3: Cross multiply
    334,098x = 518,121 × 518,121
  4. Step 4: Simplify right side
    334,098x = 268,449,370,641
  5. Step 5: Solve for x
    x = 268,449,370,641/334,098
  6. Step 6: Final answer
    x = 803,504.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.