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Finding the Third Proportional to 76,615 and 178,038

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Solution

The third proportional to 76,615 and 178,038 is: 413,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,615 : 178,038 = 178,038 : x
  2. Step 2: Convert to fraction form
    76,615/178,038 = 178,038/x
  3. Step 3: Cross multiply
    76,615x = 178,038 × 178,038
  4. Step 4: Simplify right side
    76,615x = 31,697,529,444
  5. Step 5: Solve for x
    x = 31,697,529,444/76,615
  6. Step 6: Final answer
    x = 413,724.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.