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Finding the Third Proportional to 13,209 and 28,620.75

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Solution

The third proportional to 13,209 and 28,620.75 is: 62,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209 : 28,620.75 = 28,620.75 : x
  2. Step 2: Convert to fraction form
    13,209/28,620.75 = 28,620.75/x
  3. Step 3: Cross multiply
    13,209x = 28,620.75 × 28,620.75
  4. Step 4: Simplify right side
    13,209x = 819,147,330.56
  5. Step 5: Solve for x
    x = 819,147,330.56/13,209
  6. Step 6: Final answer
    x = 62,014.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.