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Finding the Third Proportional to 393,723 and 859,617

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Solution

The third proportional to 393,723 and 859,617 is: 1,876,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,723 : 859,617 = 859,617 : x
  2. Step 2: Convert to fraction form
    393,723/859,617 = 859,617/x
  3. Step 3: Cross multiply
    393,723x = 859,617 × 859,617
  4. Step 4: Simplify right side
    393,723x = 738,941,386,689
  5. Step 5: Solve for x
    x = 738,941,386,689/393,723
  6. Step 6: Final answer
    x = 1,876,805.23

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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.