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Finding the Third Proportional to 91,086 and 221,379

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Solution

The third proportional to 91,086 and 221,379 is: 538,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,086 : 221,379 = 221,379 : x
  2. Step 2: Convert to fraction form
    91,086/221,379 = 221,379/x
  3. Step 3: Cross multiply
    91,086x = 221,379 × 221,379
  4. Step 4: Simplify right side
    91,086x = 49,008,661,641
  5. Step 5: Solve for x
    x = 49,008,661,641/91,086
  6. Step 6: Final answer
    x = 538,048.24

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.