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Finding the Third Proportional to 173,630 and 262,621

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Solution

The third proportional to 173,630 and 262,621 is: 397,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,630 : 262,621 = 262,621 : x
  2. Step 2: Convert to fraction form
    173,630/262,621 = 262,621/x
  3. Step 3: Cross multiply
    173,630x = 262,621 × 262,621
  4. Step 4: Simplify right side
    173,630x = 68,969,789,641
  5. Step 5: Solve for x
    x = 68,969,789,641/173,630
  6. Step 6: Final answer
    x = 397,222.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.