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Finding the Third Proportional to 149,710 and 320,164

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Solution

The third proportional to 149,710 and 320,164 is: 684,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,710 : 320,164 = 320,164 : x
  2. Step 2: Convert to fraction form
    149,710/320,164 = 320,164/x
  3. Step 3: Cross multiply
    149,710x = 320,164 × 320,164
  4. Step 4: Simplify right side
    149,710x = 102,504,986,896
  5. Step 5: Solve for x
    x = 102,504,986,896/149,710
  6. Step 6: Final answer
    x = 684,690.31

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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.