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Finding the Third Proportional to 417,750 and 857,622

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Solution

The third proportional to 417,750 and 857,622 is: 1,760,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,750 : 857,622 = 857,622 : x
  2. Step 2: Convert to fraction form
    417,750/857,622 = 857,622/x
  3. Step 3: Cross multiply
    417,750x = 857,622 × 857,622
  4. Step 4: Simplify right side
    417,750x = 735,515,494,884
  5. Step 5: Solve for x
    x = 735,515,494,884/417,750
  6. Step 6: Final answer
    x = 1,760,659.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.