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Finding the Third Proportional to 18,360 and 37,806.75

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Solution

The third proportional to 18,360 and 37,806.75 is: 77,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,360 : 37,806.75 = 37,806.75 : x
  2. Step 2: Convert to fraction form
    18,360/37,806.75 = 37,806.75/x
  3. Step 3: Cross multiply
    18,360x = 37,806.75 × 37,806.75
  4. Step 4: Simplify right side
    18,360x = 1,429,350,345.56
  5. Step 5: Solve for x
    x = 1,429,350,345.56/18,360
  6. Step 6: Final answer
    x = 77,851.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.