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Finding the Third Proportional to 218,384 and 476,296

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Solution

The third proportional to 218,384 and 476,296 is: 1,038,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,384 : 476,296 = 476,296 : x
  2. Step 2: Convert to fraction form
    218,384/476,296 = 476,296/x
  3. Step 3: Cross multiply
    218,384x = 476,296 × 476,296
  4. Step 4: Simplify right side
    218,384x = 226,857,879,616
  5. Step 5: Solve for x
    x = 226,857,879,616/218,384
  6. Step 6: Final answer
    x = 1,038,802.66

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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.