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Finding the Third Proportional to 18,195 and 27,820.50

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Solution

The third proportional to 18,195 and 27,820.50 is: 42,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,195 : 27,820.50 = 27,820.50 : x
  2. Step 2: Convert to fraction form
    18,195/27,820.50 = 27,820.50/x
  3. Step 3: Cross multiply
    18,195x = 27,820.50 × 27,820.50
  4. Step 4: Simplify right side
    18,195x = 773,980,220.25
  5. Step 5: Solve for x
    x = 773,980,220.25/18,195
  6. Step 6: Final answer
    x = 42,538.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.