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Finding the Third Proportional to 94,410 and 204,372

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Solution

The third proportional to 94,410 and 204,372 is: 442,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,410 : 204,372 = 204,372 : x
  2. Step 2: Convert to fraction form
    94,410/204,372 = 204,372/x
  3. Step 3: Cross multiply
    94,410x = 204,372 × 204,372
  4. Step 4: Simplify right side
    94,410x = 41,767,914,384
  5. Step 5: Solve for x
    x = 41,767,914,384/94,410
  6. Step 6: Final answer
    x = 442,409.85

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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.