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Finding the Third Proportional to 43,034 and 93,856

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Solution

The third proportional to 43,034 and 93,856 is: 204,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,034 : 93,856 = 93,856 : x
  2. Step 2: Convert to fraction form
    43,034/93,856 = 93,856/x
  3. Step 3: Cross multiply
    43,034x = 93,856 × 93,856
  4. Step 4: Simplify right side
    43,034x = 8,808,948,736
  5. Step 5: Solve for x
    x = 8,808,948,736/43,034
  6. Step 6: Final answer
    x = 204,697.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.