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Finding the Third Proportional to 251,139 and 543,318

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Solution

The third proportional to 251,139 and 543,318 is: 1,175,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,139 : 543,318 = 543,318 : x
  2. Step 2: Convert to fraction form
    251,139/543,318 = 543,318/x
  3. Step 3: Cross multiply
    251,139x = 543,318 × 543,318
  4. Step 4: Simplify right side
    251,139x = 295,194,449,124
  5. Step 5: Solve for x
    x = 295,194,449,124/251,139
  6. Step 6: Final answer
    x = 1,175,422.57

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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.