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Finding the Third Proportional to 219,256.50 and 479,520

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Solution

The third proportional to 219,256.50 and 479,520 is: 1,048,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,256.50 : 479,520 = 479,520 : x
  2. Step 2: Convert to fraction form
    219,256.50/479,520 = 479,520/x
  3. Step 3: Cross multiply
    219,256.50x = 479,520 × 479,520
  4. Step 4: Simplify right side
    219,256.50x = 229,939,430,400
  5. Step 5: Solve for x
    x = 229,939,430,400/219,256.50
  6. Step 6: Final answer
    x = 1,048,723.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.