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Finding the Third Proportional to 15,381 and 33,030

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Solution

The third proportional to 15,381 and 33,030 is: 70,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,381 : 33,030 = 33,030 : x
  2. Step 2: Convert to fraction form
    15,381/33,030 = 33,030/x
  3. Step 3: Cross multiply
    15,381x = 33,030 × 33,030
  4. Step 4: Simplify right side
    15,381x = 1,090,980,900
  5. Step 5: Solve for x
    x = 1,090,980,900/15,381
  6. Step 6: Final answer
    x = 70,930.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.