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Finding the Third Proportional to 217,516 and 481,616

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Solution

The third proportional to 217,516 and 481,616 is: 1,066,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,516 : 481,616 = 481,616 : x
  2. Step 2: Convert to fraction form
    217,516/481,616 = 481,616/x
  3. Step 3: Cross multiply
    217,516x = 481,616 × 481,616
  4. Step 4: Simplify right side
    217,516x = 231,953,971,456
  5. Step 5: Solve for x
    x = 231,953,971,456/217,516
  6. Step 6: Final answer
    x = 1,066,376.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.