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Finding the Third Proportional to 86,400 and 189,696

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Solution

The third proportional to 86,400 and 189,696 is: 416,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,400 : 189,696 = 189,696 : x
  2. Step 2: Convert to fraction form
    86,400/189,696 = 189,696/x
  3. Step 3: Cross multiply
    86,400x = 189,696 × 189,696
  4. Step 4: Simplify right side
    86,400x = 35,984,572,416
  5. Step 5: Solve for x
    x = 35,984,572,416/86,400
  6. Step 6: Final answer
    x = 416,488.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.