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Finding the Third Proportional to 269,075 and 555,642

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Solution

The third proportional to 269,075 and 555,642 is: 1,147,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,075 : 555,642 = 555,642 : x
  2. Step 2: Convert to fraction form
    269,075/555,642 = 555,642/x
  3. Step 3: Cross multiply
    269,075x = 555,642 × 555,642
  4. Step 4: Simplify right side
    269,075x = 308,738,032,164
  5. Step 5: Solve for x
    x = 308,738,032,164/269,075
  6. Step 6: Final answer
    x = 1,147,405.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.