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Finding the Third Proportional to 239,306 and 518,236

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Solution

The third proportional to 239,306 and 518,236 is: 1,122,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,306 : 518,236 = 518,236 : x
  2. Step 2: Convert to fraction form
    239,306/518,236 = 518,236/x
  3. Step 3: Cross multiply
    239,306x = 518,236 × 518,236
  4. Step 4: Simplify right side
    239,306x = 268,568,551,696
  5. Step 5: Solve for x
    x = 268,568,551,696/239,306
  6. Step 6: Final answer
    x = 1,122,280.89

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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.