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Finding the Third Proportional to 275,546 and 421,468

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Solution

The third proportional to 275,546 and 421,468 is: 644,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,546 : 421,468 = 421,468 : x
  2. Step 2: Convert to fraction form
    275,546/421,468 = 421,468/x
  3. Step 3: Cross multiply
    275,546x = 421,468 × 421,468
  4. Step 4: Simplify right side
    275,546x = 177,635,275,024
  5. Step 5: Solve for x
    x = 177,635,275,024/275,546
  6. Step 6: Final answer
    x = 644,666.50

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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.