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Finding the Third Proportional to 196,798 and 276,153

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Solution

The third proportional to 196,798 and 276,153 is: 387,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,798 : 276,153 = 276,153 : x
  2. Step 2: Convert to fraction form
    196,798/276,153 = 276,153/x
  3. Step 3: Cross multiply
    196,798x = 276,153 × 276,153
  4. Step 4: Simplify right side
    196,798x = 76,260,479,409
  5. Step 5: Solve for x
    x = 76,260,479,409/196,798
  6. Step 6: Final answer
    x = 387,506.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.