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Finding the Third Proportional to 319,215,546 and 449,329,942

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Solution

The third proportional to 319,215,546 and 449,329,942 is: 632,479,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,215,546 : 449,329,942 = 449,329,942 : x
  2. Step 2: Convert to fraction form
    319,215,546/449,329,942 = 449,329,942/x
  3. Step 3: Cross multiply
    319,215,546x = 449,329,942 × 449,329,942
  4. Step 4: Simplify right side
    319,215,546x = 201,897,396,777,723,360
  5. Step 5: Solve for x
    x = 201,897,396,777,723,360/319,215,546
  6. Step 6: Final answer
    x = 632,479,837.86

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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.