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Finding the Third Proportional to 408,640,954.50 and 634,493,175.75

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Solution

The third proportional to 408,640,954.50 and 634,493,175.75 is: 985,171,911.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,640,954.50 : 634,493,175.75 = 634,493,175.75 : x
  2. Step 2: Convert to fraction form
    408,640,954.50/634,493,175.75 = 634,493,175.75/x
  3. Step 3: Cross multiply
    408,640,954.50x = 634,493,175.75 × 634,493,175.75
  4. Step 4: Simplify right side
    408,640,954.50x = 402,581,590,073,320,384
  5. Step 5: Solve for x
    x = 402,581,590,073,320,384/408,640,954.50
  6. Step 6: Final answer
    x = 985,171,911.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.