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Finding the Third Proportional to 86,713 and 189,995

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Solution

The third proportional to 86,713 and 189,995 is: 416,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,713 : 189,995 = 189,995 : x
  2. Step 2: Convert to fraction form
    86,713/189,995 = 189,995/x
  3. Step 3: Cross multiply
    86,713x = 189,995 × 189,995
  4. Step 4: Simplify right side
    86,713x = 36,098,100,025
  5. Step 5: Solve for x
    x = 36,098,100,025/86,713
  6. Step 6: Final answer
    x = 416,293.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.