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Finding the Third Proportional to 68,665 and 102,929

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Solution

The third proportional to 68,665 and 102,929 is: 154,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,665 : 102,929 = 102,929 : x
  2. Step 2: Convert to fraction form
    68,665/102,929 = 102,929/x
  3. Step 3: Cross multiply
    68,665x = 102,929 × 102,929
  4. Step 4: Simplify right side
    68,665x = 10,594,379,041
  5. Step 5: Solve for x
    x = 10,594,379,041/68,665
  6. Step 6: Final answer
    x = 154,290.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.