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Finding the Third Proportional to 248,100 and 543,481

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Solution

The third proportional to 248,100 and 543,481 is: 1,190,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,100 : 543,481 = 543,481 : x
  2. Step 2: Convert to fraction form
    248,100/543,481 = 543,481/x
  3. Step 3: Cross multiply
    248,100x = 543,481 × 543,481
  4. Step 4: Simplify right side
    248,100x = 295,371,597,361
  5. Step 5: Solve for x
    x = 295,371,597,361/248,100
  6. Step 6: Final answer
    x = 1,190,534.45

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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.