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Finding the Third Proportional to 448.51 and 980.31

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Solution

The third proportional to 448.51 and 980.31 is: 2,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.51 : 980.31 = 980.31 : x
  2. Step 2: Convert to fraction form
    448.51/980.31 = 980.31/x
  3. Step 3: Cross multiply
    448.51x = 980.31 × 980.31
  4. Step 4: Simplify right side
    448.51x = 960,999.19
  5. Step 5: Solve for x
    x = 960,999.19/448.51
  6. Step 6: Final answer
    x = 2,142.67

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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.