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Finding the Third Proportional to 45,678 and 99,634

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Solution

The third proportional to 45,678 and 99,634 is: 217,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,678 : 99,634 = 99,634 : x
  2. Step 2: Convert to fraction form
    45,678/99,634 = 99,634/x
  3. Step 3: Cross multiply
    45,678x = 99,634 × 99,634
  4. Step 4: Simplify right side
    45,678x = 9,926,933,956
  5. Step 5: Solve for x
    x = 9,926,933,956/45,678
  6. Step 6: Final answer
    x = 217,324.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.