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Finding the Third Proportional to 890.58 and 1,382.38

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Solution

The third proportional to 890.58 and 1,382.38 is: 2,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.58 : 1,382.38 = 1,382.38 : x
  2. Step 2: Convert to fraction form
    890.58/1,382.38 = 1,382.38/x
  3. Step 3: Cross multiply
    890.58x = 1,382.38 × 1,382.38
  4. Step 4: Simplify right side
    890.58x = 1,910,971.44
  5. Step 5: Solve for x
    x = 1,910,971.44/890.58
  6. Step 6: Final answer
    x = 2,145.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.