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Finding the Third Proportional to 219,661 and 479,600

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Solution

The third proportional to 219,661 and 479,600 is: 1,047,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,661 : 479,600 = 479,600 : x
  2. Step 2: Convert to fraction form
    219,661/479,600 = 479,600/x
  3. Step 3: Cross multiply
    219,661x = 479,600 × 479,600
  4. Step 4: Simplify right side
    219,661x = 230,016,160,000
  5. Step 5: Solve for x
    x = 230,016,160,000/219,661
  6. Step 6: Final answer
    x = 1,047,141.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.