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Finding the Third Proportional to 78,192 and 161,739

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Solution

The third proportional to 78,192 and 161,739 is: 334,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192 : 161,739 = 161,739 : x
  2. Step 2: Convert to fraction form
    78,192/161,739 = 161,739/x
  3. Step 3: Cross multiply
    78,192x = 161,739 × 161,739
  4. Step 4: Simplify right side
    78,192x = 26,159,504,121
  5. Step 5: Solve for x
    x = 26,159,504,121/78,192
  6. Step 6: Final answer
    x = 334,554.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.