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Finding the Third Proportional to 86,029 and 202,406

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Solution

The third proportional to 86,029 and 202,406 is: 476,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,029 : 202,406 = 202,406 : x
  2. Step 2: Convert to fraction form
    86,029/202,406 = 202,406/x
  3. Step 3: Cross multiply
    86,029x = 202,406 × 202,406
  4. Step 4: Simplify right side
    86,029x = 40,968,188,836
  5. Step 5: Solve for x
    x = 40,968,188,836/86,029
  6. Step 6: Final answer
    x = 476,213.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.