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Finding the Third Proportional to 178,478 and 276,357

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Solution

The third proportional to 178,478 and 276,357 is: 427,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,478 : 276,357 = 276,357 : x
  2. Step 2: Convert to fraction form
    178,478/276,357 = 276,357/x
  3. Step 3: Cross multiply
    178,478x = 276,357 × 276,357
  4. Step 4: Simplify right side
    178,478x = 76,373,191,449
  5. Step 5: Solve for x
    x = 76,373,191,449/178,478
  6. Step 6: Final answer
    x = 427,913.76

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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.