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Finding the Third Proportional to 18,754 and 40,020

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Solution

The third proportional to 18,754 and 40,020 is: 85,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,754 : 40,020 = 40,020 : x
  2. Step 2: Convert to fraction form
    18,754/40,020 = 40,020/x
  3. Step 3: Cross multiply
    18,754x = 40,020 × 40,020
  4. Step 4: Simplify right side
    18,754x = 1,601,600,400
  5. Step 5: Solve for x
    x = 1,601,600,400/18,754
  6. Step 6: Final answer
    x = 85,400.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.