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Finding the Third Proportional to 68,230 and 103,405

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Solution

The third proportional to 68,230 and 103,405 is: 156,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,230 : 103,405 = 103,405 : x
  2. Step 2: Convert to fraction form
    68,230/103,405 = 103,405/x
  3. Step 3: Cross multiply
    68,230x = 103,405 × 103,405
  4. Step 4: Simplify right side
    68,230x = 10,692,594,025
  5. Step 5: Solve for x
    x = 10,692,594,025/68,230
  6. Step 6: Final answer
    x = 156,713.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.