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Finding the Third Proportional to 13,862 and 30,093.50

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Solution

The third proportional to 13,862 and 30,093.50 is: 65,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862 : 30,093.50 = 30,093.50 : x
  2. Step 2: Convert to fraction form
    13,862/30,093.50 = 30,093.50/x
  3. Step 3: Cross multiply
    13,862x = 30,093.50 × 30,093.50
  4. Step 4: Simplify right side
    13,862x = 905,618,742.25
  5. Step 5: Solve for x
    x = 905,618,742.25/13,862
  6. Step 6: Final answer
    x = 65,331.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.