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Finding the Third Proportional to 275,186.63 and 420,987

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Solution

The third proportional to 275,186.63 and 420,987 is: 644,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,186.63 : 420,987 = 420,987 : x
  2. Step 2: Convert to fraction form
    275,186.63/420,987 = 420,987/x
  3. Step 3: Cross multiply
    275,186.63x = 420,987 × 420,987
  4. Step 4: Simplify right side
    275,186.63x = 177,230,054,169
  5. Step 5: Solve for x
    x = 177,230,054,169/275,186.63
  6. Step 6: Final answer
    x = 644,035.86

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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.