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Finding the Third Proportional to 18,336 and 37,640

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Solution

The third proportional to 18,336 and 37,640 is: 77,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,336 : 37,640 = 37,640 : x
  2. Step 2: Convert to fraction form
    18,336/37,640 = 37,640/x
  3. Step 3: Cross multiply
    18,336x = 37,640 × 37,640
  4. Step 4: Simplify right side
    18,336x = 1,416,769,600
  5. Step 5: Solve for x
    x = 1,416,769,600/18,336
  6. Step 6: Final answer
    x = 77,267.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.