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Finding the Third Proportional to 102,326 and 209,723

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Solution

The third proportional to 102,326 and 209,723 is: 429,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,326 : 209,723 = 209,723 : x
  2. Step 2: Convert to fraction form
    102,326/209,723 = 209,723/x
  3. Step 3: Cross multiply
    102,326x = 209,723 × 209,723
  4. Step 4: Simplify right side
    102,326x = 43,983,736,729
  5. Step 5: Solve for x
    x = 43,983,736,729/102,326
  6. Step 6: Final answer
    x = 429,839.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.