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Finding the Third Proportional to 13,335 and 20,106.25

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Solution

The third proportional to 13,335 and 20,106.25 is: 30,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,335 : 20,106.25 = 20,106.25 : x
  2. Step 2: Convert to fraction form
    13,335/20,106.25 = 20,106.25/x
  3. Step 3: Cross multiply
    13,335x = 20,106.25 × 20,106.25
  4. Step 4: Simplify right side
    13,335x = 404,261,289.06
  5. Step 5: Solve for x
    x = 404,261,289.06/13,335
  6. Step 6: Final answer
    x = 30,315.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.