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Finding the Third Proportional to 43,900 and 66,928

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Solution

The third proportional to 43,900 and 66,928 is: 102,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,900 : 66,928 = 66,928 : x
  2. Step 2: Convert to fraction form
    43,900/66,928 = 66,928/x
  3. Step 3: Cross multiply
    43,900x = 66,928 × 66,928
  4. Step 4: Simplify right side
    43,900x = 4,479,357,184
  5. Step 5: Solve for x
    x = 4,479,357,184/43,900
  6. Step 6: Final answer
    x = 102,035.47

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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.