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Finding the Third Proportional to 180,442 and 274,911

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Solution

The third proportional to 180,442 and 274,911 is: 418,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,442 : 274,911 = 274,911 : x
  2. Step 2: Convert to fraction form
    180,442/274,911 = 274,911/x
  3. Step 3: Cross multiply
    180,442x = 274,911 × 274,911
  4. Step 4: Simplify right side
    180,442x = 75,576,057,921
  5. Step 5: Solve for x
    x = 75,576,057,921/180,442
  6. Step 6: Final answer
    x = 418,838.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.