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Finding the Third Proportional to 239,968 and 519,680

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Solution

The third proportional to 239,968 and 519,680 is: 1,125,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,968 : 519,680 = 519,680 : x
  2. Step 2: Convert to fraction form
    239,968/519,680 = 519,680/x
  3. Step 3: Cross multiply
    239,968x = 519,680 × 519,680
  4. Step 4: Simplify right side
    239,968x = 270,067,302,400
  5. Step 5: Solve for x
    x = 270,067,302,400/239,968
  6. Step 6: Final answer
    x = 1,125,430.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.