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Finding the Third Proportional to 220,608 and 310,661

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Solution

The third proportional to 220,608 and 310,661 is: 437,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,608 : 310,661 = 310,661 : x
  2. Step 2: Convert to fraction form
    220,608/310,661 = 310,661/x
  3. Step 3: Cross multiply
    220,608x = 310,661 × 310,661
  4. Step 4: Simplify right side
    220,608x = 96,510,256,921
  5. Step 5: Solve for x
    x = 96,510,256,921/220,608
  6. Step 6: Final answer
    x = 437,473.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.