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Finding the Third Proportional to 12,840.75 and 19,173.75

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Solution

The third proportional to 12,840.75 and 19,173.75 is: 28,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.75 : 19,173.75 = 19,173.75 : x
  2. Step 2: Convert to fraction form
    12,840.75/19,173.75 = 19,173.75/x
  3. Step 3: Cross multiply
    12,840.75x = 19,173.75 × 19,173.75
  4. Step 4: Simplify right side
    12,840.75x = 367,632,689.06
  5. Step 5: Solve for x
    x = 367,632,689.06/12,840.75
  6. Step 6: Final answer
    x = 28,630.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.