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Finding the Third Proportional to 173,126 and 258,995

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Solution

The third proportional to 173,126 and 258,995 is: 387,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,126 : 258,995 = 258,995 : x
  2. Step 2: Convert to fraction form
    173,126/258,995 = 258,995/x
  3. Step 3: Cross multiply
    173,126x = 258,995 × 258,995
  4. Step 4: Simplify right side
    173,126x = 67,078,410,025
  5. Step 5: Solve for x
    x = 67,078,410,025/173,126
  6. Step 6: Final answer
    x = 387,454.28

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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.