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Finding the Third Proportional to 265,638 and 406,530

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Solution

The third proportional to 265,638 and 406,530 is: 622,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,638 : 406,530 = 406,530 : x
  2. Step 2: Convert to fraction form
    265,638/406,530 = 406,530/x
  3. Step 3: Cross multiply
    265,638x = 406,530 × 406,530
  4. Step 4: Simplify right side
    265,638x = 165,266,640,900
  5. Step 5: Solve for x
    x = 165,266,640,900/265,638
  6. Step 6: Final answer
    x = 622,149.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.