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Finding the Third Proportional to 18,706 and 40,006

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Solution

The third proportional to 18,706 and 40,006 is: 85,559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,706 : 40,006 = 40,006 : x
  2. Step 2: Convert to fraction form
    18,706/40,006 = 40,006/x
  3. Step 3: Cross multiply
    18,706x = 40,006 × 40,006
  4. Step 4: Simplify right side
    18,706x = 1,600,480,036
  5. Step 5: Solve for x
    x = 1,600,480,036/18,706
  6. Step 6: Final answer
    x = 85,559.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.