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Finding the Third Proportional to 93,538 and 204,578

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Solution

The third proportional to 93,538 and 204,578 is: 447,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,538 : 204,578 = 204,578 : x
  2. Step 2: Convert to fraction form
    93,538/204,578 = 204,578/x
  3. Step 3: Cross multiply
    93,538x = 204,578 × 204,578
  4. Step 4: Simplify right side
    93,538x = 41,852,158,084
  5. Step 5: Solve for x
    x = 41,852,158,084/93,538
  6. Step 6: Final answer
    x = 447,434.82

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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.