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Finding the Third Proportional to 86,412 and 179,721

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Solution

The third proportional to 86,412 and 179,721 is: 373,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,412 : 179,721 = 179,721 : x
  2. Step 2: Convert to fraction form
    86,412/179,721 = 179,721/x
  3. Step 3: Cross multiply
    86,412x = 179,721 × 179,721
  4. Step 4: Simplify right side
    86,412x = 32,299,637,841
  5. Step 5: Solve for x
    x = 32,299,637,841/86,412
  6. Step 6: Final answer
    x = 373,786.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.