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Finding the Third Proportional to 178,442 and 276,463

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Solution

The third proportional to 178,442 and 276,463 is: 428,328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,442 : 276,463 = 276,463 : x
  2. Step 2: Convert to fraction form
    178,442/276,463 = 276,463/x
  3. Step 3: Cross multiply
    178,442x = 276,463 × 276,463
  4. Step 4: Simplify right side
    178,442x = 76,431,790,369
  5. Step 5: Solve for x
    x = 76,431,790,369/178,442
  6. Step 6: Final answer
    x = 428,328.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.