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Finding the Third Proportional to 408,640,970.25 and 634,493,199.38

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Solution

The third proportional to 408,640,970.25 and 634,493,199.38 is: 985,171,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,640,970.25 : 634,493,199.38 = 634,493,199.38 : x
  2. Step 2: Convert to fraction form
    408,640,970.25/634,493,199.38 = 634,493,199.38/x
  3. Step 3: Cross multiply
    408,640,970.25x = 634,493,199.38 × 634,493,199.38
  4. Step 4: Simplify right side
    408,640,970.25x = 402,581,620,053,123,520
  5. Step 5: Solve for x
    x = 402,581,620,053,123,520/408,640,970.25
  6. Step 6: Final answer
    x = 985,171,946.43

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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.