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Finding the Third Proportional to 217,512 and 481,681

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Solution

The third proportional to 217,512 and 481,681 is: 1,066,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,512 : 481,681 = 481,681 : x
  2. Step 2: Convert to fraction form
    217,512/481,681 = 481,681/x
  3. Step 3: Cross multiply
    217,512x = 481,681 × 481,681
  4. Step 4: Simplify right side
    217,512x = 232,016,585,761
  5. Step 5: Solve for x
    x = 232,016,585,761/217,512
  6. Step 6: Final answer
    x = 1,066,684.07

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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.