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Finding the Third Proportional to 393,115 and 859,839

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Solution

The third proportional to 393,115 and 859,839 is: 1,880,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,115 : 859,839 = 859,839 : x
  2. Step 2: Convert to fraction form
    393,115/859,839 = 859,839/x
  3. Step 3: Cross multiply
    393,115x = 859,839 × 859,839
  4. Step 4: Simplify right side
    393,115x = 739,323,105,921
  5. Step 5: Solve for x
    x = 739,323,105,921/393,115
  6. Step 6: Final answer
    x = 1,880,678.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.