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Finding the Third Proportional to 378.32 and 899.75

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Solution

The third proportional to 378.32 and 899.75 is: 2,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.32 : 899.75 = 899.75 : x
  2. Step 2: Convert to fraction form
    378.32/899.75 = 899.75/x
  3. Step 3: Cross multiply
    378.32x = 899.75 × 899.75
  4. Step 4: Simplify right side
    378.32x = 809,557.09
  5. Step 5: Solve for x
    x = 809,557.09/378.32
  6. Step 6: Final answer
    x = 2,139.89

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.