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Finding the Third Proportional to 18,042.75 and 40,270.50

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Solution

The third proportional to 18,042.75 and 40,270.50 is: 89,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042.75 : 40,270.50 = 40,270.50 : x
  2. Step 2: Convert to fraction form
    18,042.75/40,270.50 = 40,270.50/x
  3. Step 3: Cross multiply
    18,042.75x = 40,270.50 × 40,270.50
  4. Step 4: Simplify right side
    18,042.75x = 1,621,713,170.25
  5. Step 5: Solve for x
    x = 1,621,713,170.25/18,042.75
  6. Step 6: Final answer
    x = 89,881.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.