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Finding the Third Proportional to 111,305 and 262,481

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Solution

The third proportional to 111,305 and 262,481 is: 618,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,305 : 262,481 = 262,481 : x
  2. Step 2: Convert to fraction form
    111,305/262,481 = 262,481/x
  3. Step 3: Cross multiply
    111,305x = 262,481 × 262,481
  4. Step 4: Simplify right side
    111,305x = 68,896,275,361
  5. Step 5: Solve for x
    x = 68,896,275,361/111,305
  6. Step 6: Final answer
    x = 618,986.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.