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Finding the Third Proportional to 217,640 and 461,404

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Solution

The third proportional to 217,640 and 461,404 is: 978,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,640 : 461,404 = 461,404 : x
  2. Step 2: Convert to fraction form
    217,640/461,404 = 461,404/x
  3. Step 3: Cross multiply
    217,640x = 461,404 × 461,404
  4. Step 4: Simplify right side
    217,640x = 212,893,651,216
  5. Step 5: Solve for x
    x = 212,893,651,216/217,640
  6. Step 6: Final answer
    x = 978,191.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.