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Finding the Third Proportional to 3,317.63 and 7,257.94

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Solution

The third proportional to 3,317.63 and 7,257.94 is: 15,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.63 : 7,257.94 = 7,257.94 : x
  2. Step 2: Convert to fraction form
    3,317.63/7,257.94 = 7,257.94/x
  3. Step 3: Cross multiply
    3,317.63x = 7,257.94 × 7,257.94
  4. Step 4: Simplify right side
    3,317.63x = 52,677,656.75
  5. Step 5: Solve for x
    x = 52,677,656.75/3,317.63
  6. Step 6: Final answer
    x = 15,878.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.