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Finding the Third Proportional to 178,734 and 276,498

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Solution

The third proportional to 178,734 and 276,498 is: 427,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,734 : 276,498 = 276,498 : x
  2. Step 2: Convert to fraction form
    178,734/276,498 = 276,498/x
  3. Step 3: Cross multiply
    178,734x = 276,498 × 276,498
  4. Step 4: Simplify right side
    178,734x = 76,451,144,004
  5. Step 5: Solve for x
    x = 76,451,144,004/178,734
  6. Step 6: Final answer
    x = 427,736.99

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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.