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Finding the Third Proportional to 211,419 and 289,912.50

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Solution

The third proportional to 211,419 and 289,912.50 is: 397,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,419 : 289,912.50 = 289,912.50 : x
  2. Step 2: Convert to fraction form
    211,419/289,912.50 = 289,912.50/x
  3. Step 3: Cross multiply
    211,419x = 289,912.50 × 289,912.50
  4. Step 4: Simplify right side
    211,419x = 84,049,257,656.25
  5. Step 5: Solve for x
    x = 84,049,257,656.25/211,419
  6. Step 6: Final answer
    x = 397,548.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.