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Finding the Third Proportional to 15,133 and 21,166

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Solution

The third proportional to 15,133 and 21,166 is: 29,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,133 : 21,166 = 21,166 : x
  2. Step 2: Convert to fraction form
    15,133/21,166 = 21,166/x
  3. Step 3: Cross multiply
    15,133x = 21,166 × 21,166
  4. Step 4: Simplify right side
    15,133x = 447,999,556
  5. Step 5: Solve for x
    x = 447,999,556/15,133
  6. Step 6: Final answer
    x = 29,604.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.