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Finding the Third Proportional to 81,972 and 178,158

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Solution

The third proportional to 81,972 and 178,158 is: 387,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,972 : 178,158 = 178,158 : x
  2. Step 2: Convert to fraction form
    81,972/178,158 = 178,158/x
  3. Step 3: Cross multiply
    81,972x = 178,158 × 178,158
  4. Step 4: Simplify right side
    81,972x = 31,740,272,964
  5. Step 5: Solve for x
    x = 31,740,272,964/81,972
  6. Step 6: Final answer
    x = 387,208.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.