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Finding the Third Proportional to 209,259 and 303,678

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Solution

The third proportional to 209,259 and 303,678 is: 440,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,259 : 303,678 = 303,678 : x
  2. Step 2: Convert to fraction form
    209,259/303,678 = 303,678/x
  3. Step 3: Cross multiply
    209,259x = 303,678 × 303,678
  4. Step 4: Simplify right side
    209,259x = 92,220,327,684
  5. Step 5: Solve for x
    x = 92,220,327,684/209,259
  6. Step 6: Final answer
    x = 440,699.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.