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Finding the Third Proportional to 239,936 and 555,464

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Solution

The third proportional to 239,936 and 555,464 is: 1,285,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,936 : 555,464 = 555,464 : x
  2. Step 2: Convert to fraction form
    239,936/555,464 = 555,464/x
  3. Step 3: Cross multiply
    239,936x = 555,464 × 555,464
  4. Step 4: Simplify right side
    239,936x = 308,540,255,296
  5. Step 5: Solve for x
    x = 308,540,255,296/239,936
  6. Step 6: Final answer
    x = 1,285,927.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.