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Finding the Third Proportional to 86,814 and 186,912

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Solution

The third proportional to 86,814 and 186,912 is: 402,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,814 : 186,912 = 186,912 : x
  2. Step 2: Convert to fraction form
    86,814/186,912 = 186,912/x
  3. Step 3: Cross multiply
    86,814x = 186,912 × 186,912
  4. Step 4: Simplify right side
    86,814x = 34,936,095,744
  5. Step 5: Solve for x
    x = 34,936,095,744/86,814
  6. Step 6: Final answer
    x = 402,424.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.