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Finding the Third Proportional to 448.27 and 976.15

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Solution

The third proportional to 448.27 and 976.15 is: 2,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.27 : 976.15 = 976.15 : x
  2. Step 2: Convert to fraction form
    448.27/976.15 = 976.15/x
  3. Step 3: Cross multiply
    448.27x = 976.15 × 976.15
  4. Step 4: Simplify right side
    448.27x = 952,874.35
  5. Step 5: Solve for x
    x = 952,874.35/448.27
  6. Step 6: Final answer
    x = 2,125.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.