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Finding the Third Proportional to 93,612 and 204,716

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Solution

The third proportional to 93,612 and 204,716 is: 447,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,612 : 204,716 = 204,716 : x
  2. Step 2: Convert to fraction form
    93,612/204,716 = 204,716/x
  3. Step 3: Cross multiply
    93,612x = 204,716 × 204,716
  4. Step 4: Simplify right side
    93,612x = 41,908,640,656
  5. Step 5: Solve for x
    x = 41,908,640,656/93,612
  6. Step 6: Final answer
    x = 447,684.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.