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Finding the Third Proportional to 15,460.50 and 33,381

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Solution

The third proportional to 15,460.50 and 33,381 is: 72,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,460.50 : 33,381 = 33,381 : x
  2. Step 2: Convert to fraction form
    15,460.50/33,381 = 33,381/x
  3. Step 3: Cross multiply
    15,460.50x = 33,381 × 33,381
  4. Step 4: Simplify right side
    15,460.50x = 1,114,291,161
  5. Step 5: Solve for x
    x = 1,114,291,161/15,460.50
  6. Step 6: Final answer
    x = 72,073.42

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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.