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Finding the Third Proportional to 91,410 and 203,826

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Solution

The third proportional to 91,410 and 203,826 is: 454,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,410 : 203,826 = 203,826 : x
  2. Step 2: Convert to fraction form
    91,410/203,826 = 203,826/x
  3. Step 3: Cross multiply
    91,410x = 203,826 × 203,826
  4. Step 4: Simplify right side
    91,410x = 41,545,038,276
  5. Step 5: Solve for x
    x = 41,545,038,276/91,410
  6. Step 6: Final answer
    x = 454,491.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.