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Finding the Third Proportional to 86,622 and 189,228

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Solution

The third proportional to 86,622 and 189,228 is: 413,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,622 : 189,228 = 189,228 : x
  2. Step 2: Convert to fraction form
    86,622/189,228 = 189,228/x
  3. Step 3: Cross multiply
    86,622x = 189,228 × 189,228
  4. Step 4: Simplify right side
    86,622x = 35,807,235,984
  5. Step 5: Solve for x
    x = 35,807,235,984/86,622
  6. Step 6: Final answer
    x = 413,373.46

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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.