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Finding the Third Proportional to 319,215,544 and 449,329,939

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Solution

The third proportional to 319,215,544 and 449,329,939 is: 632,479,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,215,544 : 449,329,939 = 449,329,939 : x
  2. Step 2: Convert to fraction form
    319,215,544/449,329,939 = 449,329,939/x
  3. Step 3: Cross multiply
    319,215,544x = 449,329,939 × 449,329,939
  4. Step 4: Simplify right side
    319,215,544x = 201,897,394,081,743,712
  5. Step 5: Solve for x
    x = 201,897,394,081,743,712/319,215,544
  6. Step 6: Final answer
    x = 632,479,833.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.