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Finding the Third Proportional to 239,919 and 555,420

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Solution

The third proportional to 239,919 and 555,420 is: 1,285,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,919 : 555,420 = 555,420 : x
  2. Step 2: Convert to fraction form
    239,919/555,420 = 555,420/x
  3. Step 3: Cross multiply
    239,919x = 555,420 × 555,420
  4. Step 4: Simplify right side
    239,919x = 308,491,376,400
  5. Step 5: Solve for x
    x = 308,491,376,400/239,919
  6. Step 6: Final answer
    x = 1,285,814.70

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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.