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Finding the Third Proportional to 7,069.78 and 13,623.19

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Solution

The third proportional to 7,069.78 and 13,623.19 is: 26,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.78 : 13,623.19 = 13,623.19 : x
  2. Step 2: Convert to fraction form
    7,069.78/13,623.19 = 13,623.19/x
  3. Step 3: Cross multiply
    7,069.78x = 13,623.19 × 13,623.19
  4. Step 4: Simplify right side
    7,069.78x = 185,591,237.66
  5. Step 5: Solve for x
    x = 185,591,237.66/7,069.78
  6. Step 6: Final answer
    x = 26,251.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.