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Finding the Third Proportional to 239,917 and 555,409

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Solution

The third proportional to 239,917 and 555,409 is: 1,285,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,917 : 555,409 = 555,409 : x
  2. Step 2: Convert to fraction form
    239,917/555,409 = 555,409/x
  3. Step 3: Cross multiply
    239,917x = 555,409 × 555,409
  4. Step 4: Simplify right side
    239,917x = 308,479,157,281
  5. Step 5: Solve for x
    x = 308,479,157,281/239,917
  6. Step 6: Final answer
    x = 1,285,774.49

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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.