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Finding the Third Proportional to 100,611,876 and 215,579,208

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Solution

The third proportional to 100,611,876 and 215,579,208 is: 461,917,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,611,876 : 215,579,208 = 215,579,208 : x
  2. Step 2: Convert to fraction form
    100,611,876/215,579,208 = 215,579,208/x
  3. Step 3: Cross multiply
    100,611,876x = 215,579,208 × 215,579,208
  4. Step 4: Simplify right side
    100,611,876x = 46,474,394,921,907,264
  5. Step 5: Solve for x
    x = 46,474,394,921,907,264/100,611,876
  6. Step 6: Final answer
    x = 461,917,586.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.