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Finding the Third Proportional to 239,364 and 518,620

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Solution

The third proportional to 239,364 and 518,620 is: 1,123,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,364 : 518,620 = 518,620 : x
  2. Step 2: Convert to fraction form
    239,364/518,620 = 518,620/x
  3. Step 3: Cross multiply
    239,364x = 518,620 × 518,620
  4. Step 4: Simplify right side
    239,364x = 268,966,704,400
  5. Step 5: Solve for x
    x = 268,966,704,400/239,364
  6. Step 6: Final answer
    x = 1,123,672.33

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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.