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Finding the Third Proportional to 180,576 and 275,448

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Solution

The third proportional to 180,576 and 275,448 is: 420,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,576 : 275,448 = 275,448 : x
  2. Step 2: Convert to fraction form
    180,576/275,448 = 275,448/x
  3. Step 3: Cross multiply
    180,576x = 275,448 × 275,448
  4. Step 4: Simplify right side
    180,576x = 75,871,600,704
  5. Step 5: Solve for x
    x = 75,871,600,704/180,576
  6. Step 6: Final answer
    x = 420,164.37

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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.