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Finding the Third Proportional to 86,726 and 186,388

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Solution

The third proportional to 86,726 and 186,388 is: 400,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,726 : 186,388 = 186,388 : x
  2. Step 2: Convert to fraction form
    86,726/186,388 = 186,388/x
  3. Step 3: Cross multiply
    86,726x = 186,388 × 186,388
  4. Step 4: Simplify right side
    86,726x = 34,740,486,544
  5. Step 5: Solve for x
    x = 34,740,486,544/86,726
  6. Step 6: Final answer
    x = 400,577.53

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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.