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Finding the Third Proportional to 355,632 and 775,172

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Solution

The third proportional to 355,632 and 775,172 is: 1,689,644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,632 : 775,172 = 775,172 : x
  2. Step 2: Convert to fraction form
    355,632/775,172 = 775,172/x
  3. Step 3: Cross multiply
    355,632x = 775,172 × 775,172
  4. Step 4: Simplify right side
    355,632x = 600,891,629,584
  5. Step 5: Solve for x
    x = 600,891,629,584/355,632
  6. Step 6: Final answer
    x = 1,689,644.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.