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Finding the Third Proportional to 219,682 and 479,459

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Solution

The third proportional to 219,682 and 479,459 is: 1,046,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,682 : 479,459 = 479,459 : x
  2. Step 2: Convert to fraction form
    219,682/479,459 = 479,459/x
  3. Step 3: Cross multiply
    219,682x = 479,459 × 479,459
  4. Step 4: Simplify right side
    219,682x = 229,880,932,681
  5. Step 5: Solve for x
    x = 229,880,932,681/219,682
  6. Step 6: Final answer
    x = 1,046,425.89

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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.