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Finding the Third Proportional to 9,486.49 and 20,818.27

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Solution

The third proportional to 9,486.49 and 20,818.27 is: 45,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.49 : 20,818.27 = 20,818.27 : x
  2. Step 2: Convert to fraction form
    9,486.49/20,818.27 = 20,818.27/x
  3. Step 3: Cross multiply
    9,486.49x = 20,818.27 × 20,818.27
  4. Step 4: Simplify right side
    9,486.49x = 433,400,183.63
  5. Step 5: Solve for x
    x = 433,400,183.63/9,486.49
  6. Step 6: Final answer
    x = 45,686.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.