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Finding the Third Proportional to 43,908 and 103,533

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Solution

The third proportional to 43,908 and 103,533 is: 244,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,908 : 103,533 = 103,533 : x
  2. Step 2: Convert to fraction form
    43,908/103,533 = 103,533/x
  3. Step 3: Cross multiply
    43,908x = 103,533 × 103,533
  4. Step 4: Simplify right side
    43,908x = 10,719,082,089
  5. Step 5: Solve for x
    x = 10,719,082,089/43,908
  6. Step 6: Final answer
    x = 244,125.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.