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Finding the Third Proportional to 200,255,728.50 and 415,859,067

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Solution

The third proportional to 200,255,728.50 and 415,859,067 is: 863,589,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,255,728.50 : 415,859,067 = 415,859,067 : x
  2. Step 2: Convert to fraction form
    200,255,728.50/415,859,067 = 415,859,067/x
  3. Step 3: Cross multiply
    200,255,728.50x = 415,859,067 × 415,859,067
  4. Step 4: Simplify right side
    200,255,728.50x = 172,938,763,606,110,496
  5. Step 5: Solve for x
    x = 172,938,763,606,110,496/200,255,728.50
  6. Step 6: Final answer
    x = 863,589,595.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.