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Finding the Third Proportional to 7,824.94 and 12,117.94

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Solution

The third proportional to 7,824.94 and 12,117.94 is: 18,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.94 : 12,117.94 = 12,117.94 : x
  2. Step 2: Convert to fraction form
    7,824.94/12,117.94 = 12,117.94/x
  3. Step 3: Cross multiply
    7,824.94x = 12,117.94 × 12,117.94
  4. Step 4: Simplify right side
    7,824.94x = 146,844,409.25
  5. Step 5: Solve for x
    x = 146,844,409.25/7,824.94
  6. Step 6: Final answer
    x = 18,766.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.