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Finding the Third Proportional to 672.68 and 1,448.35

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Solution

The third proportional to 672.68 and 1,448.35 is: 3,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.68 : 1,448.35 = 1,448.35 : x
  2. Step 2: Convert to fraction form
    672.68/1,448.35 = 1,448.35/x
  3. Step 3: Cross multiply
    672.68x = 1,448.35 × 1,448.35
  4. Step 4: Simplify right side
    672.68x = 2,097,716.59
  5. Step 5: Solve for x
    x = 2,097,716.59/672.68
  6. Step 6: Final answer
    x = 3,118.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.