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Finding the Third Proportional to 884.81 and 1,387.69

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Solution

The third proportional to 884.81 and 1,387.69 is: 2,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.81 : 1,387.69 = 1,387.69 : x
  2. Step 2: Convert to fraction form
    884.81/1,387.69 = 1,387.69/x
  3. Step 3: Cross multiply
    884.81x = 1,387.69 × 1,387.69
  4. Step 4: Simplify right side
    884.81x = 1,925,676.60
  5. Step 5: Solve for x
    x = 1,925,676.60/884.81
  6. Step 6: Final answer
    x = 2,176.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.