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Finding the Third Proportional to 103,908 and 223,709

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Solution

The third proportional to 103,908 and 223,709 is: 481,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,908 : 223,709 = 223,709 : x
  2. Step 2: Convert to fraction form
    103,908/223,709 = 223,709/x
  3. Step 3: Cross multiply
    103,908x = 223,709 × 223,709
  4. Step 4: Simplify right side
    103,908x = 50,045,716,681
  5. Step 5: Solve for x
    x = 50,045,716,681/103,908
  6. Step 6: Final answer
    x = 481,634.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.