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Finding the Third Proportional to 173,115 and 258,980

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Solution

The third proportional to 173,115 and 258,980 is: 387,434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,115 : 258,980 = 258,980 : x
  2. Step 2: Convert to fraction form
    173,115/258,980 = 258,980/x
  3. Step 3: Cross multiply
    173,115x = 258,980 × 258,980
  4. Step 4: Simplify right side
    173,115x = 67,070,640,400
  5. Step 5: Solve for x
    x = 67,070,640,400/173,115
  6. Step 6: Final answer
    x = 387,434.02

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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.