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Finding the Third Proportional to 399,497 and 858,286

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Solution

The third proportional to 399,497 and 858,286 is: 1,843,955.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,497 : 858,286 = 858,286 : x
  2. Step 2: Convert to fraction form
    399,497/858,286 = 858,286/x
  3. Step 3: Cross multiply
    399,497x = 858,286 × 858,286
  4. Step 4: Simplify right side
    399,497x = 736,654,857,796
  5. Step 5: Solve for x
    x = 736,654,857,796/399,497
  6. Step 6: Final answer
    x = 1,843,955.92

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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.