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Finding the Third Proportional to 154,733 and 208,771

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Solution

The third proportional to 154,733 and 208,771 is: 281,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,733 : 208,771 = 208,771 : x
  2. Step 2: Convert to fraction form
    154,733/208,771 = 208,771/x
  3. Step 3: Cross multiply
    154,733x = 208,771 × 208,771
  4. Step 4: Simplify right side
    154,733x = 43,585,330,441
  5. Step 5: Solve for x
    x = 43,585,330,441/154,733
  6. Step 6: Final answer
    x = 281,680.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.