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Finding the Third Proportional to 399,266 and 856,948

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Solution

The third proportional to 399,266 and 856,948 is: 1,839,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,266 : 856,948 = 856,948 : x
  2. Step 2: Convert to fraction form
    399,266/856,948 = 856,948/x
  3. Step 3: Cross multiply
    399,266x = 856,948 × 856,948
  4. Step 4: Simplify right side
    399,266x = 734,359,874,704
  5. Step 5: Solve for x
    x = 734,359,874,704/399,266
  6. Step 6: Final answer
    x = 1,839,274.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.