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Finding the Third Proportional to 248,149 and 543,557

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Solution

The third proportional to 248,149 and 543,557 is: 1,190,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,149 : 543,557 = 543,557 : x
  2. Step 2: Convert to fraction form
    248,149/543,557 = 543,557/x
  3. Step 3: Cross multiply
    248,149x = 543,557 × 543,557
  4. Step 4: Simplify right side
    248,149x = 295,454,212,249
  5. Step 5: Solve for x
    x = 295,454,212,249/248,149
  6. Step 6: Final answer
    x = 1,190,632.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.