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Finding the Third Proportional to 100,611,878 and 215,579,212

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Solution

The third proportional to 100,611,878 and 215,579,212 is: 461,917,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,611,878 : 215,579,212 = 215,579,212 : x
  2. Step 2: Convert to fraction form
    100,611,878/215,579,212 = 215,579,212/x
  3. Step 3: Cross multiply
    100,611,878x = 215,579,212 × 215,579,212
  4. Step 4: Simplify right side
    100,611,878x = 46,474,396,646,540,944
  5. Step 5: Solve for x
    x = 46,474,396,646,540,944/100,611,878
  6. Step 6: Final answer
    x = 461,917,594.33

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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.