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Finding the Third Proportional to 180,440 and 274,908

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Solution

The third proportional to 180,440 and 274,908 is: 418,834.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,440 : 274,908 = 274,908 : x
  2. Step 2: Convert to fraction form
    180,440/274,908 = 274,908/x
  3. Step 3: Cross multiply
    180,440x = 274,908 × 274,908
  4. Step 4: Simplify right side
    180,440x = 75,574,408,464
  5. Step 5: Solve for x
    x = 75,574,408,464/180,440
  6. Step 6: Final answer
    x = 418,834.01

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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.