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Finding the Third Proportional to 21,191 and 28,133

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Solution

The third proportional to 21,191 and 28,133 is: 37,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191 : 28,133 = 28,133 : x
  2. Step 2: Convert to fraction form
    21,191/28,133 = 28,133/x
  3. Step 3: Cross multiply
    21,191x = 28,133 × 28,133
  4. Step 4: Simplify right side
    21,191x = 791,465,689
  5. Step 5: Solve for x
    x = 791,465,689/21,191
  6. Step 6: Final answer
    x = 37,349.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.