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Finding the Third Proportional to 12,603.75 and 18,902.25

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Solution

The third proportional to 12,603.75 and 18,902.25 is: 28,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.75 : 18,902.25 = 18,902.25 : x
  2. Step 2: Convert to fraction form
    12,603.75/18,902.25 = 18,902.25/x
  3. Step 3: Cross multiply
    12,603.75x = 18,902.25 × 18,902.25
  4. Step 4: Simplify right side
    12,603.75x = 357,295,055.06
  5. Step 5: Solve for x
    x = 357,295,055.06/12,603.75
  6. Step 6: Final answer
    x = 28,348.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.