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Finding the Third Proportional to 393,736 and 859,646

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Solution

The third proportional to 393,736 and 859,646 is: 1,876,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,736 : 859,646 = 859,646 : x
  2. Step 2: Convert to fraction form
    393,736/859,646 = 859,646/x
  3. Step 3: Cross multiply
    393,736x = 859,646 × 859,646
  4. Step 4: Simplify right side
    393,736x = 738,991,245,316
  5. Step 5: Solve for x
    x = 738,991,245,316/393,736
  6. Step 6: Final answer
    x = 1,876,869.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.