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Finding the Third Proportional to 238,436 and 517,880

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Solution

The third proportional to 238,436 and 517,880 is: 1,124,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,436 : 517,880 = 517,880 : x
  2. Step 2: Convert to fraction form
    238,436/517,880 = 517,880/x
  3. Step 3: Cross multiply
    238,436x = 517,880 × 517,880
  4. Step 4: Simplify right side
    238,436x = 268,199,694,400
  5. Step 5: Solve for x
    x = 268,199,694,400/238,436
  6. Step 6: Final answer
    x = 1,124,828.86

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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.