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Finding the Third Proportional to 11,602 and 28,043

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Solution

The third proportional to 11,602 and 28,043 is: 67,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602 : 28,043 = 28,043 : x
  2. Step 2: Convert to fraction form
    11,602/28,043 = 28,043/x
  3. Step 3: Cross multiply
    11,602x = 28,043 × 28,043
  4. Step 4: Simplify right side
    11,602x = 786,409,849
  5. Step 5: Solve for x
    x = 786,409,849/11,602
  6. Step 6: Final answer
    x = 67,782.27

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.