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Finding the Third Proportional to 12,975.19 and 19,212.19

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Solution

The third proportional to 12,975.19 and 19,212.19 is: 28,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.19 : 19,212.19 = 19,212.19 : x
  2. Step 2: Convert to fraction form
    12,975.19/19,212.19 = 19,212.19/x
  3. Step 3: Cross multiply
    12,975.19x = 19,212.19 × 19,212.19
  4. Step 4: Simplify right side
    12,975.19x = 369,108,148.54
  5. Step 5: Solve for x
    x = 369,108,148.54/12,975.19
  6. Step 6: Final answer
    x = 28,447.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.