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Finding the Third Proportional to 121,014 and 263,628

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Solution

The third proportional to 121,014 and 263,628 is: 574,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,014 : 263,628 = 263,628 : x
  2. Step 2: Convert to fraction form
    121,014/263,628 = 263,628/x
  3. Step 3: Cross multiply
    121,014x = 263,628 × 263,628
  4. Step 4: Simplify right side
    121,014x = 69,499,722,384
  5. Step 5: Solve for x
    x = 69,499,722,384/121,014
  6. Step 6: Final answer
    x = 574,311.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.