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Finding the Third Proportional to 619.41 and 906.56

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Solution

The third proportional to 619.41 and 906.56 is: 1,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.41 : 906.56 = 906.56 : x
  2. Step 2: Convert to fraction form
    619.41/906.56 = 906.56/x
  3. Step 3: Cross multiply
    619.41x = 906.56 × 906.56
  4. Step 4: Simplify right side
    619.41x = 821,855.57
  5. Step 5: Solve for x
    x = 821,855.57/619.41
  6. Step 6: Final answer
    x = 1,326.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.