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Finding the Third Proportional to 82,746 and 178,615

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Solution

The third proportional to 82,746 and 178,615 is: 385,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,746 : 178,615 = 178,615 : x
  2. Step 2: Convert to fraction form
    82,746/178,615 = 178,615/x
  3. Step 3: Cross multiply
    82,746x = 178,615 × 178,615
  4. Step 4: Simplify right side
    82,746x = 31,903,318,225
  5. Step 5: Solve for x
    x = 31,903,318,225/82,746
  6. Step 6: Final answer
    x = 385,557.23

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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.