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Finding the Third Proportional to 99,744 and 145,756

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Solution

The third proportional to 99,744 and 145,756 is: 212,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,744 : 145,756 = 145,756 : x
  2. Step 2: Convert to fraction form
    99,744/145,756 = 145,756/x
  3. Step 3: Cross multiply
    99,744x = 145,756 × 145,756
  4. Step 4: Simplify right side
    99,744x = 21,244,811,536
  5. Step 5: Solve for x
    x = 21,244,811,536/99,744
  6. Step 6: Final answer
    x = 212,993.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.