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Finding the Third Proportional to 140,028 and 215,232

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Solution

The third proportional to 140,028 and 215,232 is: 330,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,028 : 215,232 = 215,232 : x
  2. Step 2: Convert to fraction form
    140,028/215,232 = 215,232/x
  3. Step 3: Cross multiply
    140,028x = 215,232 × 215,232
  4. Step 4: Simplify right side
    140,028x = 46,324,813,824
  5. Step 5: Solve for x
    x = 46,324,813,824/140,028
  6. Step 6: Final answer
    x = 330,825.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.