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Finding the Third Proportional to 210,777.19 and 321,438.38

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Solution

The third proportional to 210,777.19 and 321,438.38 is: 490,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,777.19 : 321,438.38 = 321,438.38 : x
  2. Step 2: Convert to fraction form
    210,777.19/321,438.38 = 321,438.38/x
  3. Step 3: Cross multiply
    210,777.19x = 321,438.38 × 321,438.38
  4. Step 4: Simplify right side
    210,777.19x = 103,322,628,922.64
  5. Step 5: Solve for x
    x = 103,322,628,922.64/210,777.19
  6. Step 6: Final answer
    x = 490,198.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.