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Finding the Third Proportional to 275,842 and 421,786

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Solution

The third proportional to 275,842 and 421,786 is: 644,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,842 : 421,786 = 421,786 : x
  2. Step 2: Convert to fraction form
    275,842/421,786 = 421,786/x
  3. Step 3: Cross multiply
    275,842x = 421,786 × 421,786
  4. Step 4: Simplify right side
    275,842x = 177,903,429,796
  5. Step 5: Solve for x
    x = 177,903,429,796/275,842
  6. Step 6: Final answer
    x = 644,946.85

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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.