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Finding the Third Proportional to 12,020.63 and 18,661.08

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Solution

The third proportional to 12,020.63 and 18,661.08 is: 28,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020.63 : 18,661.08 = 18,661.08 : x
  2. Step 2: Convert to fraction form
    12,020.63/18,661.08 = 18,661.08/x
  3. Step 3: Cross multiply
    12,020.63x = 18,661.08 × 18,661.08
  4. Step 4: Simplify right side
    12,020.63x = 348,235,836.79
  5. Step 5: Solve for x
    x = 348,235,836.79/12,020.63
  6. Step 6: Final answer
    x = 28,969.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.