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Finding the Third Proportional to 275,075 and 420,786

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Solution

The third proportional to 275,075 and 420,786 is: 643,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,075 : 420,786 = 420,786 : x
  2. Step 2: Convert to fraction form
    275,075/420,786 = 420,786/x
  3. Step 3: Cross multiply
    275,075x = 420,786 × 420,786
  4. Step 4: Simplify right side
    275,075x = 177,060,857,796
  5. Step 5: Solve for x
    x = 177,060,857,796/275,075
  6. Step 6: Final answer
    x = 643,682.12

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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.