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Finding the Third Proportional to 217,521 and 481,698

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Solution

The third proportional to 217,521 and 481,698 is: 1,066,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,521 : 481,698 = 481,698 : x
  2. Step 2: Convert to fraction form
    217,521/481,698 = 481,698/x
  3. Step 3: Cross multiply
    217,521x = 481,698 × 481,698
  4. Step 4: Simplify right side
    217,521x = 232,032,963,204
  5. Step 5: Solve for x
    x = 232,032,963,204/217,521
  6. Step 6: Final answer
    x = 1,066,715.23

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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.