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Finding the Third Proportional to 448.41 and 1,048.03

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Solution

The third proportional to 448.41 and 1,048.03 is: 2,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.41 : 1,048.03 = 1,048.03 : x
  2. Step 2: Convert to fraction form
    448.41/1,048.03 = 1,048.03/x
  3. Step 3: Cross multiply
    448.41x = 1,048.03 × 1,048.03
  4. Step 4: Simplify right side
    448.41x = 1,098,369.50
  5. Step 5: Solve for x
    x = 1,098,369.50/448.41
  6. Step 6: Final answer
    x = 2,449.50

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.