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Finding the Third Proportional to 173,818 and 268,707

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Solution

The third proportional to 173,818 and 268,707 is: 415,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,818 : 268,707 = 268,707 : x
  2. Step 2: Convert to fraction form
    173,818/268,707 = 268,707/x
  3. Step 3: Cross multiply
    173,818x = 268,707 × 268,707
  4. Step 4: Simplify right side
    173,818x = 72,203,451,849
  5. Step 5: Solve for x
    x = 72,203,451,849/173,818
  6. Step 6: Final answer
    x = 415,396.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.