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Finding the Third Proportional to 217,616 and 461,368

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Solution

The third proportional to 217,616 and 461,368 is: 978,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,616 : 461,368 = 461,368 : x
  2. Step 2: Convert to fraction form
    217,616/461,368 = 461,368/x
  3. Step 3: Cross multiply
    217,616x = 461,368 × 461,368
  4. Step 4: Simplify right side
    217,616x = 212,860,431,424
  5. Step 5: Solve for x
    x = 212,860,431,424/217,616
  6. Step 6: Final answer
    x = 978,146.97

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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.