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Finding the Third Proportional to 210,662.25 and 298,080.75

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Solution

The third proportional to 210,662.25 and 298,080.75 is: 421,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,662.25 : 298,080.75 = 298,080.75 : x
  2. Step 2: Convert to fraction form
    210,662.25/298,080.75 = 298,080.75/x
  3. Step 3: Cross multiply
    210,662.25x = 298,080.75 × 298,080.75
  4. Step 4: Simplify right side
    210,662.25x = 88,852,133,520.56
  5. Step 5: Solve for x
    x = 88,852,133,520.56/210,662.25
  6. Step 6: Final answer
    x = 421,775.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.