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Finding the Third Proportional to 9,480.66 and 21,065.63

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Solution

The third proportional to 9,480.66 and 21,065.63 is: 46,806.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.66 : 21,065.63 = 21,065.63 : x
  2. Step 2: Convert to fraction form
    9,480.66/21,065.63 = 21,065.63/x
  3. Step 3: Cross multiply
    9,480.66x = 21,065.63 × 21,065.63
  4. Step 4: Simplify right side
    9,480.66x = 443,760,556.64
  5. Step 5: Solve for x
    x = 443,760,556.64/9,480.66
  6. Step 6: Final answer
    x = 46,806.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.