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Finding the Third Proportional to 393,763 and 843,295

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Solution

The third proportional to 393,763 and 843,295 is: 1,806,026.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,763 : 843,295 = 843,295 : x
  2. Step 2: Convert to fraction form
    393,763/843,295 = 843,295/x
  3. Step 3: Cross multiply
    393,763x = 843,295 × 843,295
  4. Step 4: Simplify right side
    393,763x = 711,146,457,025
  5. Step 5: Solve for x
    x = 711,146,457,025/393,763
  6. Step 6: Final answer
    x = 1,806,026.61

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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.