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Finding the Third Proportional to 258,696 and 555,192

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Solution

The third proportional to 258,696 and 555,192 is: 1,191,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,696 : 555,192 = 555,192 : x
  2. Step 2: Convert to fraction form
    258,696/555,192 = 555,192/x
  3. Step 3: Cross multiply
    258,696x = 555,192 × 555,192
  4. Step 4: Simplify right side
    258,696x = 308,238,156,864
  5. Step 5: Solve for x
    x = 308,238,156,864/258,696
  6. Step 6: Final answer
    x = 1,191,507.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.