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Finding the Third Proportional to 448.44 and 971.31

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Solution

The third proportional to 448.44 and 971.31 is: 2,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.44 : 971.31 = 971.31 : x
  2. Step 2: Convert to fraction form
    448.44/971.31 = 971.31/x
  3. Step 3: Cross multiply
    448.44x = 971.31 × 971.31
  4. Step 4: Simplify right side
    448.44x = 943,447.97
  5. Step 5: Solve for x
    x = 943,447.97/448.44
  6. Step 6: Final answer
    x = 2,103.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.