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Finding the Third Proportional to 258,686 and 562,936

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Solution

The third proportional to 258,686 and 562,936 is: 1,225,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,686 : 562,936 = 562,936 : x
  2. Step 2: Convert to fraction form
    258,686/562,936 = 562,936/x
  3. Step 3: Cross multiply
    258,686x = 562,936 × 562,936
  4. Step 4: Simplify right side
    258,686x = 316,896,940,096
  5. Step 5: Solve for x
    x = 316,896,940,096/258,686
  6. Step 6: Final answer
    x = 1,225,025.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.