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Finding the Third Proportional to 86,078 and 201,182

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Solution

The third proportional to 86,078 and 201,182 is: 470,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,078 : 201,182 = 201,182 : x
  2. Step 2: Convert to fraction form
    86,078/201,182 = 201,182/x
  3. Step 3: Cross multiply
    86,078x = 201,182 × 201,182
  4. Step 4: Simplify right side
    86,078x = 40,474,197,124
  5. Step 5: Solve for x
    x = 40,474,197,124/86,078
  6. Step 6: Final answer
    x = 470,203.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.