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Finding the Third Proportional to 18,868 and 40,724

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Solution

The third proportional to 18,868 and 40,724 is: 87,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,868 : 40,724 = 40,724 : x
  2. Step 2: Convert to fraction form
    18,868/40,724 = 40,724/x
  3. Step 3: Cross multiply
    18,868x = 40,724 × 40,724
  4. Step 4: Simplify right side
    18,868x = 1,658,444,176
  5. Step 5: Solve for x
    x = 1,658,444,176/18,868
  6. Step 6: Final answer
    x = 87,897.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.