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Finding the Third Proportional to 86,007 and 178,086

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Solution

The third proportional to 86,007 and 178,086 is: 368,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,007 : 178,086 = 178,086 : x
  2. Step 2: Convert to fraction form
    86,007/178,086 = 178,086/x
  3. Step 3: Cross multiply
    86,007x = 178,086 × 178,086
  4. Step 4: Simplify right side
    86,007x = 31,714,623,396
  5. Step 5: Solve for x
    x = 31,714,623,396/86,007
  6. Step 6: Final answer
    x = 368,744.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.