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Finding the Third Proportional to 121,568 and 252,800

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Solution

The third proportional to 121,568 and 252,800 is: 525,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,568 : 252,800 = 252,800 : x
  2. Step 2: Convert to fraction form
    121,568/252,800 = 252,800/x
  3. Step 3: Cross multiply
    121,568x = 252,800 × 252,800
  4. Step 4: Simplify right side
    121,568x = 63,907,840,000
  5. Step 5: Solve for x
    x = 63,907,840,000/121,568
  6. Step 6: Final answer
    x = 525,696.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.