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Finding the Third Proportional to 18,428.50 and 43,321

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Solution

The third proportional to 18,428.50 and 43,321 is: 101,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,428.50 : 43,321 = 43,321 : x
  2. Step 2: Convert to fraction form
    18,428.50/43,321 = 43,321/x
  3. Step 3: Cross multiply
    18,428.50x = 43,321 × 43,321
  4. Step 4: Simplify right side
    18,428.50x = 1,876,709,041
  5. Step 5: Solve for x
    x = 1,876,709,041/18,428.50
  6. Step 6: Final answer
    x = 101,837.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.