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Finding the Third Proportional to 19,800 and 40,896

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Solution

The third proportional to 19,800 and 40,896 is: 84,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,800 : 40,896 = 40,896 : x
  2. Step 2: Convert to fraction form
    19,800/40,896 = 40,896/x
  3. Step 3: Cross multiply
    19,800x = 40,896 × 40,896
  4. Step 4: Simplify right side
    19,800x = 1,672,482,816
  5. Step 5: Solve for x
    x = 1,672,482,816/19,800
  6. Step 6: Final answer
    x = 84,468.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.