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Finding the Third Proportional to 18,087 and 38,359.50

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Solution

The third proportional to 18,087 and 38,359.50 is: 81,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,087 : 38,359.50 = 38,359.50 : x
  2. Step 2: Convert to fraction form
    18,087/38,359.50 = 38,359.50/x
  3. Step 3: Cross multiply
    18,087x = 38,359.50 × 38,359.50
  4. Step 4: Simplify right side
    18,087x = 1,471,451,240.25
  5. Step 5: Solve for x
    x = 1,471,451,240.25/18,087
  6. Step 6: Final answer
    x = 81,354.08

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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.