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Finding the Third Proportional to 18,706.50 and 40,005.75

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Solution

The third proportional to 18,706.50 and 40,005.75 is: 85,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,706.50 : 40,005.75 = 40,005.75 : x
  2. Step 2: Convert to fraction form
    18,706.50/40,005.75 = 40,005.75/x
  3. Step 3: Cross multiply
    18,706.50x = 40,005.75 × 40,005.75
  4. Step 4: Simplify right side
    18,706.50x = 1,600,460,033.06
  5. Step 5: Solve for x
    x = 1,600,460,033.06/18,706.50
  6. Step 6: Final answer
    x = 85,556.36

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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.