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Finding the Third Proportional to 81,968 and 169,048

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Solution

The third proportional to 81,968 and 169,048 is: 348,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,968 : 169,048 = 169,048 : x
  2. Step 2: Convert to fraction form
    81,968/169,048 = 169,048/x
  3. Step 3: Cross multiply
    81,968x = 169,048 × 169,048
  4. Step 4: Simplify right side
    81,968x = 28,577,226,304
  5. Step 5: Solve for x
    x = 28,577,226,304/81,968
  6. Step 6: Final answer
    x = 348,638.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.