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Finding the Third Proportional to 219,661.50 and 479,601

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Solution

The third proportional to 219,661.50 and 479,601 is: 1,047,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,661.50 : 479,601 = 479,601 : x
  2. Step 2: Convert to fraction form
    219,661.50/479,601 = 479,601/x
  3. Step 3: Cross multiply
    219,661.50x = 479,601 × 479,601
  4. Step 4: Simplify right side
    219,661.50x = 230,017,119,201
  5. Step 5: Solve for x
    x = 230,017,119,201/219,661.50
  6. Step 6: Final answer
    x = 1,047,143.53

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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.