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Finding the Third Proportional to 258,214 and 557,216

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Solution

The third proportional to 258,214 and 557,216 is: 1,202,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,214 : 557,216 = 557,216 : x
  2. Step 2: Convert to fraction form
    258,214/557,216 = 557,216/x
  3. Step 3: Cross multiply
    258,214x = 557,216 × 557,216
  4. Step 4: Simplify right side
    258,214x = 310,489,670,656
  5. Step 5: Solve for x
    x = 310,489,670,656/258,214
  6. Step 6: Final answer
    x = 1,202,450.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.