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Finding the Third Proportional to 213,283 and 493,759

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Solution

The third proportional to 213,283 and 493,759 is: 1,143,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,283 : 493,759 = 493,759 : x
  2. Step 2: Convert to fraction form
    213,283/493,759 = 493,759/x
  3. Step 3: Cross multiply
    213,283x = 493,759 × 493,759
  4. Step 4: Simplify right side
    213,283x = 243,797,950,081
  5. Step 5: Solve for x
    x = 243,797,950,081/213,283
  6. Step 6: Final answer
    x = 1,143,072.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.