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Finding the Third Proportional to 258,412,999.50 and 397,198,968

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Solution

The third proportional to 258,412,999.50 and 397,198,968 is: 610,522,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,412,999.50 : 397,198,968 = 397,198,968 : x
  2. Step 2: Convert to fraction form
    258,412,999.50/397,198,968 = 397,198,968/x
  3. Step 3: Cross multiply
    258,412,999.50x = 397,198,968 × 397,198,968
  4. Step 4: Simplify right side
    258,412,999.50x = 157,767,020,180,265,024
  5. Step 5: Solve for x
    x = 157,767,020,180,265,024/258,412,999.50
  6. Step 6: Final answer
    x = 610,522,769.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.