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Finding the Third Proportional to 154,537.88 and 320,914.41

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Solution

The third proportional to 154,537.88 and 320,914.41 is: 666,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,537.88 : 320,914.41 = 320,914.41 : x
  2. Step 2: Convert to fraction form
    154,537.88/320,914.41 = 320,914.41/x
  3. Step 3: Cross multiply
    154,537.88x = 320,914.41 × 320,914.41
  4. Step 4: Simplify right side
    154,537.88x = 102,986,056,138.79
  5. Step 5: Solve for x
    x = 102,986,056,138.79/154,537.88
  6. Step 6: Final answer
    x = 666,413.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.