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Finding the Third Proportional to 255,858 and 557,508

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Solution

The third proportional to 255,858 and 557,508 is: 1,214,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,858 : 557,508 = 557,508 : x
  2. Step 2: Convert to fraction form
    255,858/557,508 = 557,508/x
  3. Step 3: Cross multiply
    255,858x = 557,508 × 557,508
  4. Step 4: Simplify right side
    255,858x = 310,815,170,064
  5. Step 5: Solve for x
    x = 310,815,170,064/255,858
  6. Step 6: Final answer
    x = 1,214,795.59

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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.