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Finding the Third Proportional to 211,816 and 465,611

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Solution

The third proportional to 211,816 and 465,611 is: 1,023,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,816 : 465,611 = 465,611 : x
  2. Step 2: Convert to fraction form
    211,816/465,611 = 465,611/x
  3. Step 3: Cross multiply
    211,816x = 465,611 × 465,611
  4. Step 4: Simplify right side
    211,816x = 216,793,603,321
  5. Step 5: Solve for x
    x = 216,793,603,321/211,816
  6. Step 6: Final answer
    x = 1,023,499.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.