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Finding the Third Proportional to 225,972 and 332,046

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Solution

The third proportional to 225,972 and 332,046 is: 487,912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,972 : 332,046 = 332,046 : x
  2. Step 2: Convert to fraction form
    225,972/332,046 = 332,046/x
  3. Step 3: Cross multiply
    225,972x = 332,046 × 332,046
  4. Step 4: Simplify right side
    225,972x = 110,254,546,116
  5. Step 5: Solve for x
    x = 110,254,546,116/225,972
  6. Step 6: Final answer
    x = 487,912.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.