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Finding the Third Proportional to 7,758 and 18,120

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Solution

The third proportional to 7,758 and 18,120 is: 42,322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758 : 18,120 = 18,120 : x
  2. Step 2: Convert to fraction form
    7,758/18,120 = 18,120/x
  3. Step 3: Cross multiply
    7,758x = 18,120 × 18,120
  4. Step 4: Simplify right side
    7,758x = 328,334,400
  5. Step 5: Solve for x
    x = 328,334,400/7,758
  6. Step 6: Final answer
    x = 42,322.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.