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Finding the Third Proportional to 149,128 and 225,864

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Solution

The third proportional to 149,128 and 225,864 is: 342,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,128 : 225,864 = 225,864 : x
  2. Step 2: Convert to fraction form
    149,128/225,864 = 225,864/x
  3. Step 3: Cross multiply
    149,128x = 225,864 × 225,864
  4. Step 4: Simplify right side
    149,128x = 51,014,546,496
  5. Step 5: Solve for x
    x = 51,014,546,496/149,128
  6. Step 6: Final answer
    x = 342,085.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.