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Finding the Third Proportional to 173,121 and 258,990

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Solution

The third proportional to 173,121 and 258,990 is: 387,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,121 : 258,990 = 258,990 : x
  2. Step 2: Convert to fraction form
    173,121/258,990 = 258,990/x
  3. Step 3: Cross multiply
    173,121x = 258,990 × 258,990
  4. Step 4: Simplify right side
    173,121x = 67,075,820,100
  5. Step 5: Solve for x
    x = 67,075,820,100/173,121
  6. Step 6: Final answer
    x = 387,450.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.