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Finding the Third Proportional to 21,960 and 40,896

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Solution

The third proportional to 21,960 and 40,896 is: 76,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,960 : 40,896 = 40,896 : x
  2. Step 2: Convert to fraction form
    21,960/40,896 = 40,896/x
  3. Step 3: Cross multiply
    21,960x = 40,896 × 40,896
  4. Step 4: Simplify right side
    21,960x = 1,672,482,816
  5. Step 5: Solve for x
    x = 1,672,482,816/21,960
  6. Step 6: Final answer
    x = 76,160.42

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.