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Finding the Third Proportional to 12,078 and 19,190.25

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Solution

The third proportional to 12,078 and 19,190.25 is: 30,490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078 : 19,190.25 = 19,190.25 : x
  2. Step 2: Convert to fraction form
    12,078/19,190.25 = 19,190.25/x
  3. Step 3: Cross multiply
    12,078x = 19,190.25 × 19,190.25
  4. Step 4: Simplify right side
    12,078x = 368,265,695.06
  5. Step 5: Solve for x
    x = 368,265,695.06/12,078
  6. Step 6: Final answer
    x = 30,490.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.