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Finding the Third Proportional to 220,056 and 332,190

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Solution

The third proportional to 220,056 and 332,190 is: 501,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,056 : 332,190 = 332,190 : x
  2. Step 2: Convert to fraction form
    220,056/332,190 = 332,190/x
  3. Step 3: Cross multiply
    220,056x = 332,190 × 332,190
  4. Step 4: Simplify right side
    220,056x = 110,350,196,100
  5. Step 5: Solve for x
    x = 110,350,196,100/220,056
  6. Step 6: Final answer
    x = 501,464.16

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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.