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Finding the Third Proportional to 178,512 and 276,410

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Solution

The third proportional to 178,512 and 276,410 is: 427,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,512 : 276,410 = 276,410 : x
  2. Step 2: Convert to fraction form
    178,512/276,410 = 276,410/x
  3. Step 3: Cross multiply
    178,512x = 276,410 × 276,410
  4. Step 4: Simplify right side
    178,512x = 76,402,488,100
  5. Step 5: Solve for x
    x = 76,402,488,100/178,512
  6. Step 6: Final answer
    x = 427,996.37

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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.