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Finding the Third Proportional to 13,181.63 and 21,015

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Solution

The third proportional to 13,181.63 and 21,015 is: 33,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.63 : 21,015 = 21,015 : x
  2. Step 2: Convert to fraction form
    13,181.63/21,015 = 21,015/x
  3. Step 3: Cross multiply
    13,181.63x = 21,015 × 21,015
  4. Step 4: Simplify right side
    13,181.63x = 441,630,225
  5. Step 5: Solve for x
    x = 441,630,225/13,181.63
  6. Step 6: Final answer
    x = 33,503.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.