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Finding the Third Proportional to 149,674 and 320,102

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Solution

The third proportional to 149,674 and 320,102 is: 684,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,674 : 320,102 = 320,102 : x
  2. Step 2: Convert to fraction form
    149,674/320,102 = 320,102/x
  3. Step 3: Cross multiply
    149,674x = 320,102 × 320,102
  4. Step 4: Simplify right side
    149,674x = 102,465,290,404
  5. Step 5: Solve for x
    x = 102,465,290,404/149,674
  6. Step 6: Final answer
    x = 684,589.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.