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Finding the Third Proportional to 215,611 and 468,913

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Solution

The third proportional to 215,611 and 468,913 is: 1,019,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,611 : 468,913 = 468,913 : x
  2. Step 2: Convert to fraction form
    215,611/468,913 = 468,913/x
  3. Step 3: Cross multiply
    215,611x = 468,913 × 468,913
  4. Step 4: Simplify right side
    215,611x = 219,879,401,569
  5. Step 5: Solve for x
    x = 219,879,401,569/215,611
  6. Step 6: Final answer
    x = 1,019,796.77

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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.