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Finding the Third Proportional to 390,843 and 856,503

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Solution

The third proportional to 390,843 and 856,503 is: 1,876,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,843 : 856,503 = 856,503 : x
  2. Step 2: Convert to fraction form
    390,843/856,503 = 856,503/x
  3. Step 3: Cross multiply
    390,843x = 856,503 × 856,503
  4. Step 4: Simplify right side
    390,843x = 733,597,389,009
  5. Step 5: Solve for x
    x = 733,597,389,009/390,843
  6. Step 6: Final answer
    x = 1,876,961.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.