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Finding the Third Proportional to 39,816 and 82,152

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Solution

The third proportional to 39,816 and 82,152 is: 169,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,816 : 82,152 = 82,152 : x
  2. Step 2: Convert to fraction form
    39,816/82,152 = 82,152/x
  3. Step 3: Cross multiply
    39,816x = 82,152 × 82,152
  4. Step 4: Simplify right side
    39,816x = 6,748,951,104
  5. Step 5: Solve for x
    x = 6,748,951,104/39,816
  6. Step 6: Final answer
    x = 169,503.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.