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Finding the Third Proportional to 275,194 and 420,998

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Solution

The third proportional to 275,194 and 420,998 is: 644,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,194 : 420,998 = 420,998 : x
  2. Step 2: Convert to fraction form
    275,194/420,998 = 420,998/x
  3. Step 3: Cross multiply
    275,194x = 420,998 × 420,998
  4. Step 4: Simplify right side
    275,194x = 177,239,316,004
  5. Step 5: Solve for x
    x = 177,239,316,004/275,194
  6. Step 6: Final answer
    x = 644,052.25

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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.