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Finding the Third Proportional to 258,488 and 379,212

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Solution

The third proportional to 258,488 and 379,212 is: 556,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,488 : 379,212 = 379,212 : x
  2. Step 2: Convert to fraction form
    258,488/379,212 = 379,212/x
  3. Step 3: Cross multiply
    258,488x = 379,212 × 379,212
  4. Step 4: Simplify right side
    258,488x = 143,801,740,944
  5. Step 5: Solve for x
    x = 143,801,740,944/258,488
  6. Step 6: Final answer
    x = 556,318.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.