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Finding the Third Proportional to 386,127 and 816,723

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Solution

The third proportional to 386,127 and 816,723 is: 1,727,505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,127 : 816,723 = 816,723 : x
  2. Step 2: Convert to fraction form
    386,127/816,723 = 816,723/x
  3. Step 3: Cross multiply
    386,127x = 816,723 × 816,723
  4. Step 4: Simplify right side
    386,127x = 667,036,458,729
  5. Step 5: Solve for x
    x = 667,036,458,729/386,127
  6. Step 6: Final answer
    x = 1,727,505.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.