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Finding the Third Proportional to 253,859 and 540,318

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Solution

The third proportional to 253,859 and 540,318 is: 1,150,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,859 : 540,318 = 540,318 : x
  2. Step 2: Convert to fraction form
    253,859/540,318 = 540,318/x
  3. Step 3: Cross multiply
    253,859x = 540,318 × 540,318
  4. Step 4: Simplify right side
    253,859x = 291,943,541,124
  5. Step 5: Solve for x
    x = 291,943,541,124/253,859
  6. Step 6: Final answer
    x = 1,150,022.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.