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Finding the Third Proportional to 20,211,172 and 31,066,350

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Solution

The third proportional to 20,211,172 and 31,066,350 is: 47,751,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211,172 : 31,066,350 = 31,066,350 : x
  2. Step 2: Convert to fraction form
    20,211,172/31,066,350 = 31,066,350/x
  3. Step 3: Cross multiply
    20,211,172x = 31,066,350 × 31,066,350
  4. Step 4: Simplify right side
    20,211,172x = 965,118,102,322,500
  5. Step 5: Solve for x
    x = 965,118,102,322,500/20,211,172
  6. Step 6: Final answer
    x = 47,751,713.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.