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Finding the Third Proportional to 149,205,945 and 321,086,715

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Solution

The third proportional to 149,205,945 and 321,086,715 is: 690,968,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,205,945 : 321,086,715 = 321,086,715 : x
  2. Step 2: Convert to fraction form
    149,205,945/321,086,715 = 321,086,715/x
  3. Step 3: Cross multiply
    149,205,945x = 321,086,715 × 321,086,715
  4. Step 4: Simplify right side
    149,205,945x = 103,096,678,549,491,232
  5. Step 5: Solve for x
    x = 103,096,678,549,491,232/149,205,945
  6. Step 6: Final answer
    x = 690,968,972.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.