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Finding the Third Proportional to 448.69 and 980.72

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Solution

The third proportional to 448.69 and 980.72 is: 2,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.69 : 980.72 = 980.72 : x
  2. Step 2: Convert to fraction form
    448.69/980.72 = 980.72/x
  3. Step 3: Cross multiply
    448.69x = 980.72 × 980.72
  4. Step 4: Simplify right side
    448.69x = 961,809.27
  5. Step 5: Solve for x
    x = 961,809.27/448.69
  6. Step 6: Final answer
    x = 2,143.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.