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Finding the Third Proportional to 258,410,254.50 and 397,195,089.75

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Solution

The third proportional to 258,410,254.50 and 397,195,089.75 is: 610,517,332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,410,254.50 : 397,195,089.75 = 397,195,089.75 : x
  2. Step 2: Convert to fraction form
    258,410,254.50/397,195,089.75 = 397,195,089.75/x
  3. Step 3: Cross multiply
    258,410,254.50x = 397,195,089.75 × 397,195,089.75
  4. Step 4: Simplify right side
    258,410,254.50x = 157,763,939,321,510,560
  5. Step 5: Solve for x
    x = 157,763,939,321,510,560/258,410,254.50
  6. Step 6: Final answer
    x = 610,517,332.71

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