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Finding the Third Proportional to 149,416.52 and 320,976.42

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Solution

The third proportional to 149,416.52 and 320,976.42 is: 689,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,416.52 : 320,976.42 = 320,976.42 : x
  2. Step 2: Convert to fraction form
    149,416.52/320,976.42 = 320,976.42/x
  3. Step 3: Cross multiply
    149,416.52x = 320,976.42 × 320,976.42
  4. Step 4: Simplify right side
    149,416.52x = 103,025,863,399.68
  5. Step 5: Solve for x
    x = 103,025,863,399.68/149,416.52
  6. Step 6: Final answer
    x = 689,521.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.