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Finding the Third Proportional to 99,743 and 213,310

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Solution

The third proportional to 99,743 and 213,310 is: 456,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,743 : 213,310 = 213,310 : x
  2. Step 2: Convert to fraction form
    99,743/213,310 = 213,310/x
  3. Step 3: Cross multiply
    99,743x = 213,310 × 213,310
  4. Step 4: Simplify right side
    99,743x = 45,501,156,100
  5. Step 5: Solve for x
    x = 45,501,156,100/99,743
  6. Step 6: Final answer
    x = 456,183.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.