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Finding the Third Proportional to 275,363.63 and 420,960

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Solution

The third proportional to 275,363.63 and 420,960 is: 643,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,363.63 : 420,960 = 420,960 : x
  2. Step 2: Convert to fraction form
    275,363.63/420,960 = 420,960/x
  3. Step 3: Cross multiply
    275,363.63x = 420,960 × 420,960
  4. Step 4: Simplify right side
    275,363.63x = 177,207,321,600
  5. Step 5: Solve for x
    x = 177,207,321,600/275,363.63
  6. Step 6: Final answer
    x = 643,539.33

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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.