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Finding the Third Proportional to 7,860.94 and 11,970.56

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Solution

The third proportional to 7,860.94 and 11,970.56 is: 18,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.94 : 11,970.56 = 11,970.56 : x
  2. Step 2: Convert to fraction form
    7,860.94/11,970.56 = 11,970.56/x
  3. Step 3: Cross multiply
    7,860.94x = 11,970.56 × 11,970.56
  4. Step 4: Simplify right side
    7,860.94x = 143,294,366.57
  5. Step 5: Solve for x
    x = 143,294,366.57/7,860.94
  6. Step 6: Final answer
    x = 18,228.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.