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Finding the Third Proportional to 7,662.38 and 11,947.64

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Solution

The third proportional to 7,662.38 and 11,947.64 is: 18,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.38 : 11,947.64 = 11,947.64 : x
  2. Step 2: Convert to fraction form
    7,662.38/11,947.64 = 11,947.64/x
  3. Step 3: Cross multiply
    7,662.38x = 11,947.64 × 11,947.64
  4. Step 4: Simplify right side
    7,662.38x = 142,746,116.50
  5. Step 5: Solve for x
    x = 142,746,116.50/7,662.38
  6. Step 6: Final answer
    x = 18,629.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.