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Finding the Third Proportional to 86,623 and 189,230

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Solution

The third proportional to 86,623 and 189,230 is: 413,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,623 : 189,230 = 189,230 : x
  2. Step 2: Convert to fraction form
    86,623/189,230 = 189,230/x
  3. Step 3: Cross multiply
    86,623x = 189,230 × 189,230
  4. Step 4: Simplify right side
    86,623x = 35,807,992,900
  5. Step 5: Solve for x
    x = 35,807,992,900/86,623
  6. Step 6: Final answer
    x = 413,377.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.