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Finding the Third Proportional to 18,243 and 39,078

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Solution

The third proportional to 18,243 and 39,078 is: 83,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,243 : 39,078 = 39,078 : x
  2. Step 2: Convert to fraction form
    18,243/39,078 = 39,078/x
  3. Step 3: Cross multiply
    18,243x = 39,078 × 39,078
  4. Step 4: Simplify right side
    18,243x = 1,527,090,084
  5. Step 5: Solve for x
    x = 1,527,090,084/18,243
  6. Step 6: Final answer
    x = 83,708.28

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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.