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Finding the Third Proportional to 18,117 and 27,121.50

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Solution

The third proportional to 18,117 and 27,121.50 is: 40,601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,117 : 27,121.50 = 27,121.50 : x
  2. Step 2: Convert to fraction form
    18,117/27,121.50 = 27,121.50/x
  3. Step 3: Cross multiply
    18,117x = 27,121.50 × 27,121.50
  4. Step 4: Simplify right side
    18,117x = 735,575,762.25
  5. Step 5: Solve for x
    x = 735,575,762.25/18,117
  6. Step 6: Final answer
    x = 40,601.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.