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Finding the Third Proportional to 221,188 and 500,698

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Solution

The third proportional to 221,188 and 500,698 is: 1,133,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,188 : 500,698 = 500,698 : x
  2. Step 2: Convert to fraction form
    221,188/500,698 = 500,698/x
  3. Step 3: Cross multiply
    221,188x = 500,698 × 500,698
  4. Step 4: Simplify right side
    221,188x = 250,698,487,204
  5. Step 5: Solve for x
    x = 250,698,487,204/221,188
  6. Step 6: Final answer
    x = 1,133,418.12

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.