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Finding the Third Proportional to 86,578 and 212,063

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Solution

The third proportional to 86,578 and 212,063 is: 519,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,578 : 212,063 = 212,063 : x
  2. Step 2: Convert to fraction form
    86,578/212,063 = 212,063/x
  3. Step 3: Cross multiply
    86,578x = 212,063 × 212,063
  4. Step 4: Simplify right side
    86,578x = 44,970,715,969
  5. Step 5: Solve for x
    x = 44,970,715,969/86,578
  6. Step 6: Final answer
    x = 519,424.29

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.