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Finding the Third Proportional to 217,871 and 300,021

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Solution

The third proportional to 217,871 and 300,021 is: 413,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,871 : 300,021 = 300,021 : x
  2. Step 2: Convert to fraction form
    217,871/300,021 = 300,021/x
  3. Step 3: Cross multiply
    217,871x = 300,021 × 300,021
  4. Step 4: Simplify right side
    217,871x = 90,012,600,441
  5. Step 5: Solve for x
    x = 90,012,600,441/217,871
  6. Step 6: Final answer
    x = 413,146.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.