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Finding the Third Proportional to 211,477,953 and 323,295,285

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Solution

The third proportional to 211,477,953 and 323,295,285 is: 494,235,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,477,953 : 323,295,285 = 323,295,285 : x
  2. Step 2: Convert to fraction form
    211,477,953/323,295,285 = 323,295,285/x
  3. Step 3: Cross multiply
    211,477,953x = 323,295,285 × 323,295,285
  4. Step 4: Simplify right side
    211,477,953x = 104,519,841,303,231,232
  5. Step 5: Solve for x
    x = 104,519,841,303,231,232/211,477,953
  6. Step 6: Final answer
    x = 494,235,166.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.