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Finding the Third Proportional to 18,243 and 39,946.50

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Solution

The third proportional to 18,243 and 39,946.50 is: 87,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,243 : 39,946.50 = 39,946.50 : x
  2. Step 2: Convert to fraction form
    18,243/39,946.50 = 39,946.50/x
  3. Step 3: Cross multiply
    18,243x = 39,946.50 × 39,946.50
  4. Step 4: Simplify right side
    18,243x = 1,595,722,862.25
  5. Step 5: Solve for x
    x = 1,595,722,862.25/18,243
  6. Step 6: Final answer
    x = 87,470.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.