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Finding the Third Proportional to 397,730 and 858,997

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Solution

The third proportional to 397,730 and 858,997 is: 1,855,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,730 : 858,997 = 858,997 : x
  2. Step 2: Convert to fraction form
    397,730/858,997 = 858,997/x
  3. Step 3: Cross multiply
    397,730x = 858,997 × 858,997
  4. Step 4: Simplify right side
    397,730x = 737,875,846,009
  5. Step 5: Solve for x
    x = 737,875,846,009/397,730
  6. Step 6: Final answer
    x = 1,855,217.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.