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Finding the Third Proportional to 448.19 and 682.06

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Solution

The third proportional to 448.19 and 682.06 is: 1,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.19 : 682.06 = 682.06 : x
  2. Step 2: Convert to fraction form
    448.19/682.06 = 682.06/x
  3. Step 3: Cross multiply
    448.19x = 682.06 × 682.06
  4. Step 4: Simplify right side
    448.19x = 465,209.25
  5. Step 5: Solve for x
    x = 465,209.25/448.19
  6. Step 6: Final answer
    x = 1,037.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.