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Finding the Third Proportional to 431,722 and 926,876

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Solution

The third proportional to 431,722 and 926,876 is: 1,989,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,722 : 926,876 = 926,876 : x
  2. Step 2: Convert to fraction form
    431,722/926,876 = 926,876/x
  3. Step 3: Cross multiply
    431,722x = 926,876 × 926,876
  4. Step 4: Simplify right side
    431,722x = 859,099,119,376
  5. Step 5: Solve for x
    x = 859,099,119,376/431,722
  6. Step 6: Final answer
    x = 1,989,935.93

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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.