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Finding the Third Proportional to 3,840 and 8,287.50

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Solution

The third proportional to 3,840 and 8,287.50 is: 17,886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 8,287.50 = 8,287.50 : x
  2. Step 2: Convert to fraction form
    3,840/8,287.50 = 8,287.50/x
  3. Step 3: Cross multiply
    3,840x = 8,287.50 × 8,287.50
  4. Step 4: Simplify right side
    3,840x = 68,682,656.25
  5. Step 5: Solve for x
    x = 68,682,656.25/3,840
  6. Step 6: Final answer
    x = 17,886.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.