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Finding the Third Proportional to 265,571 and 406,436

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Solution

The third proportional to 265,571 and 406,436 is: 622,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,571 : 406,436 = 406,436 : x
  2. Step 2: Convert to fraction form
    265,571/406,436 = 406,436/x
  3. Step 3: Cross multiply
    265,571x = 406,436 × 406,436
  4. Step 4: Simplify right side
    265,571x = 165,190,222,096
  5. Step 5: Solve for x
    x = 165,190,222,096/265,571
  6. Step 6: Final answer
    x = 622,019.05

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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.