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Finding the Third Proportional to 208,142 and 491,183

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Solution

The third proportional to 208,142 and 491,183 is: 1,159,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142 : 491,183 = 491,183 : x
  2. Step 2: Convert to fraction form
    208,142/491,183 = 491,183/x
  3. Step 3: Cross multiply
    208,142x = 491,183 × 491,183
  4. Step 4: Simplify right side
    208,142x = 241,260,739,489
  5. Step 5: Solve for x
    x = 241,260,739,489/208,142
  6. Step 6: Final answer
    x = 1,159,116.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.