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Finding the Third Proportional to 12,620.81 and 18,414.84

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Solution

The third proportional to 12,620.81 and 18,414.84 is: 26,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620.81 : 18,414.84 = 18,414.84 : x
  2. Step 2: Convert to fraction form
    12,620.81/18,414.84 = 18,414.84/x
  3. Step 3: Cross multiply
    12,620.81x = 18,414.84 × 18,414.84
  4. Step 4: Simplify right side
    12,620.81x = 339,106,470.34
  5. Step 5: Solve for x
    x = 339,106,470.34/12,620.81
  6. Step 6: Final answer
    x = 26,868.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.