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Finding the Third Proportional to 488.21 and 1,065.74

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Solution

The third proportional to 488.21 and 1,065.74 is: 2,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.21 : 1,065.74 = 1,065.74 : x
  2. Step 2: Convert to fraction form
    488.21/1,065.74 = 1,065.74/x
  3. Step 3: Cross multiply
    488.21x = 1,065.74 × 1,065.74
  4. Step 4: Simplify right side
    488.21x = 1,135,791.84
  5. Step 5: Solve for x
    x = 1,135,791.84/488.21
  6. Step 6: Final answer
    x = 2,326.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.