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Finding the Third Proportional to 178,615 and 385,273

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Solution

The third proportional to 178,615 and 385,273 is: 831,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,615 : 385,273 = 385,273 : x
  2. Step 2: Convert to fraction form
    178,615/385,273 = 385,273/x
  3. Step 3: Cross multiply
    178,615x = 385,273 × 385,273
  4. Step 4: Simplify right side
    178,615x = 148,435,284,529
  5. Step 5: Solve for x
    x = 148,435,284,529/178,615
  6. Step 6: Final answer
    x = 831,034.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.