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Finding the Third Proportional to 448.03 and 1,216.90

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Solution

The third proportional to 448.03 and 1,216.90 is: 3,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.03 : 1,216.90 = 1,216.90 : x
  2. Step 2: Convert to fraction form
    448.03/1,216.90 = 1,216.90/x
  3. Step 3: Cross multiply
    448.03x = 1,216.90 × 1,216.90
  4. Step 4: Simplify right side
    448.03x = 1,480,841.81
  5. Step 5: Solve for x
    x = 1,480,841.81/448.03
  6. Step 6: Final answer
    x = 3,305.22

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.