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Finding the Third Proportional to 148,676 and 320,678

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Solution

The third proportional to 148,676 and 320,678 is: 691,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,676 : 320,678 = 320,678 : x
  2. Step 2: Convert to fraction form
    148,676/320,678 = 320,678/x
  3. Step 3: Cross multiply
    148,676x = 320,678 × 320,678
  4. Step 4: Simplify right side
    148,676x = 102,834,379,684
  5. Step 5: Solve for x
    x = 102,834,379,684/148,676
  6. Step 6: Final answer
    x = 691,667.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.