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Finding the Third Proportional to 217,900 and 455,768

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Solution

The third proportional to 217,900 and 455,768 is: 953,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,900 : 455,768 = 455,768 : x
  2. Step 2: Convert to fraction form
    217,900/455,768 = 455,768/x
  3. Step 3: Cross multiply
    217,900x = 455,768 × 455,768
  4. Step 4: Simplify right side
    217,900x = 207,724,469,824
  5. Step 5: Solve for x
    x = 207,724,469,824/217,900
  6. Step 6: Final answer
    x = 953,301.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.