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Finding the Third Proportional to 386,723 and 837,967

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Solution

The third proportional to 386,723 and 837,967 is: 1,815,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,723 : 837,967 = 837,967 : x
  2. Step 2: Convert to fraction form
    386,723/837,967 = 837,967/x
  3. Step 3: Cross multiply
    386,723x = 837,967 × 837,967
  4. Step 4: Simplify right side
    386,723x = 702,188,693,089
  5. Step 5: Solve for x
    x = 702,188,693,089/386,723
  6. Step 6: Final answer
    x = 1,815,740.71

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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.