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Finding the Third Proportional to 239,919 and 555,417

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Solution

The third proportional to 239,919 and 555,417 is: 1,285,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,919 : 555,417 = 555,417 : x
  2. Step 2: Convert to fraction form
    239,919/555,417 = 555,417/x
  3. Step 3: Cross multiply
    239,919x = 555,417 × 555,417
  4. Step 4: Simplify right side
    239,919x = 308,488,043,889
  5. Step 5: Solve for x
    x = 308,488,043,889/239,919
  6. Step 6: Final answer
    x = 1,285,800.81

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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.