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Finding the Third Proportional to 68,729 and 109,034

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Solution

The third proportional to 68,729 and 109,034 is: 172,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,729 : 109,034 = 109,034 : x
  2. Step 2: Convert to fraction form
    68,729/109,034 = 109,034/x
  3. Step 3: Cross multiply
    68,729x = 109,034 × 109,034
  4. Step 4: Simplify right side
    68,729x = 11,888,413,156
  5. Step 5: Solve for x
    x = 11,888,413,156/68,729
  6. Step 6: Final answer
    x = 172,975.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.