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Finding the Third Proportional to 18,468 and 39,147.75

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Solution

The third proportional to 18,468 and 39,147.75 is: 82,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468 : 39,147.75 = 39,147.75 : x
  2. Step 2: Convert to fraction form
    18,468/39,147.75 = 39,147.75/x
  3. Step 3: Cross multiply
    18,468x = 39,147.75 × 39,147.75
  4. Step 4: Simplify right side
    18,468x = 1,532,546,330.06
  5. Step 5: Solve for x
    x = 1,532,546,330.06/18,468
  6. Step 6: Final answer
    x = 82,983.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.