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Finding the Third Proportional to 239,934 and 555,447

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Solution

The third proportional to 239,934 and 555,447 is: 1,285,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,934 : 555,447 = 555,447 : x
  2. Step 2: Convert to fraction form
    239,934/555,447 = 555,447/x
  3. Step 3: Cross multiply
    239,934x = 555,447 × 555,447
  4. Step 4: Simplify right side
    239,934x = 308,521,369,809
  5. Step 5: Solve for x
    x = 308,521,369,809/239,934
  6. Step 6: Final answer
    x = 1,285,859.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.