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Finding the Third Proportional to 385,876 and 827,126

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Solution

The third proportional to 385,876 and 827,126 is: 1,772,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,876 : 827,126 = 827,126 : x
  2. Step 2: Convert to fraction form
    385,876/827,126 = 827,126/x
  3. Step 3: Cross multiply
    385,876x = 827,126 × 827,126
  4. Step 4: Simplify right side
    385,876x = 684,137,419,876
  5. Step 5: Solve for x
    x = 684,137,419,876/385,876
  6. Step 6: Final answer
    x = 1,772,946.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.