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Finding the Third Proportional to 86,407 and 178,809

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Solution

The third proportional to 86,407 and 178,809 is: 370,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,407 : 178,809 = 178,809 : x
  2. Step 2: Convert to fraction form
    86,407/178,809 = 178,809/x
  3. Step 3: Cross multiply
    86,407x = 178,809 × 178,809
  4. Step 4: Simplify right side
    86,407x = 31,972,658,481
  5. Step 5: Solve for x
    x = 31,972,658,481/86,407
  6. Step 6: Final answer
    x = 370,023.94

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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.