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Finding the Third Proportional to 217,280 and 454,402

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Solution

The third proportional to 217,280 and 454,402 is: 950,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,280 : 454,402 = 454,402 : x
  2. Step 2: Convert to fraction form
    217,280/454,402 = 454,402/x
  3. Step 3: Cross multiply
    217,280x = 454,402 × 454,402
  4. Step 4: Simplify right side
    217,280x = 206,481,177,604
  5. Step 5: Solve for x
    x = 206,481,177,604/217,280
  6. Step 6: Final answer
    x = 950,299.97

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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.