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Finding the Third Proportional to 196,188 and 310,866

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Solution

The third proportional to 196,188 and 310,866 is: 492,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,188 : 310,866 = 310,866 : x
  2. Step 2: Convert to fraction form
    196,188/310,866 = 310,866/x
  3. Step 3: Cross multiply
    196,188x = 310,866 × 310,866
  4. Step 4: Simplify right side
    196,188x = 96,637,669,956
  5. Step 5: Solve for x
    x = 96,637,669,956/196,188
  6. Step 6: Final answer
    x = 492,576.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.