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Finding the Third Proportional to 320,419,611 and 657,825,651

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Solution

The third proportional to 320,419,611 and 657,825,651 is: 1,350,524,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,419,611 : 657,825,651 = 657,825,651 : x
  2. Step 2: Convert to fraction form
    320,419,611/657,825,651 = 657,825,651/x
  3. Step 3: Cross multiply
    320,419,611x = 657,825,651 × 657,825,651
  4. Step 4: Simplify right side
    320,419,611x = 432,734,587,113,573,824
  5. Step 5: Solve for x
    x = 432,734,587,113,573,824/320,419,611
  6. Step 6: Final answer
    x = 1,350,524,662.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.