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Finding the Third Proportional to 262,903,278 and 408,691,920

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Solution

The third proportional to 262,903,278 and 408,691,920 is: 635,325,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,903,278 : 408,691,920 = 408,691,920 : x
  2. Step 2: Convert to fraction form
    262,903,278/408,691,920 = 408,691,920/x
  3. Step 3: Cross multiply
    262,903,278x = 408,691,920 × 408,691,920
  4. Step 4: Simplify right side
    262,903,278x = 167,029,085,473,286,400
  5. Step 5: Solve for x
    x = 167,029,085,473,286,400/262,903,278
  6. Step 6: Final answer
    x = 635,325,229.66

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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.