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Finding the Third Proportional to 211,571,238 and 320,556,609

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Solution

The third proportional to 211,571,238 and 320,556,609 is: 485,682,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,571,238 : 320,556,609 = 320,556,609 : x
  2. Step 2: Convert to fraction form
    211,571,238/320,556,609 = 320,556,609/x
  3. Step 3: Cross multiply
    211,571,238x = 320,556,609 × 320,556,609
  4. Step 4: Simplify right side
    211,571,238x = 102,756,539,573,578,880
  5. Step 5: Solve for x
    x = 102,756,539,573,578,880/211,571,238
  6. Step 6: Final answer
    x = 485,682,933.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.