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Finding the Third Proportional to 173,679 and 259,788

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Solution

The third proportional to 173,679 and 259,788 is: 388,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,679 : 259,788 = 259,788 : x
  2. Step 2: Convert to fraction form
    173,679/259,788 = 259,788/x
  3. Step 3: Cross multiply
    173,679x = 259,788 × 259,788
  4. Step 4: Simplify right side
    173,679x = 67,489,804,944
  5. Step 5: Solve for x
    x = 67,489,804,944/173,679
  6. Step 6: Final answer
    x = 388,589.32

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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.