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Finding the Third Proportional to 82,257 and 176,991

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Solution

The third proportional to 82,257 and 176,991 is: 380,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,257 : 176,991 = 176,991 : x
  2. Step 2: Convert to fraction form
    82,257/176,991 = 176,991/x
  3. Step 3: Cross multiply
    82,257x = 176,991 × 176,991
  4. Step 4: Simplify right side
    82,257x = 31,325,814,081
  5. Step 5: Solve for x
    x = 31,325,814,081/82,257
  6. Step 6: Final answer
    x = 380,828.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.