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Finding the Third Proportional to 218,700 and 475,296

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Solution

The third proportional to 218,700 and 475,296 is: 1,032,950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,700 : 475,296 = 475,296 : x
  2. Step 2: Convert to fraction form
    218,700/475,296 = 475,296/x
  3. Step 3: Cross multiply
    218,700x = 475,296 × 475,296
  4. Step 4: Simplify right side
    218,700x = 225,906,287,616
  5. Step 5: Solve for x
    x = 225,906,287,616/218,700
  6. Step 6: Final answer
    x = 1,032,950.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.