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Finding the Third Proportional to 84,305 and 176,405

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Solution

The third proportional to 84,305 and 176,405 is: 369,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,305 : 176,405 = 176,405 : x
  2. Step 2: Convert to fraction form
    84,305/176,405 = 176,405/x
  3. Step 3: Cross multiply
    84,305x = 176,405 × 176,405
  4. Step 4: Simplify right side
    84,305x = 31,118,724,025
  5. Step 5: Solve for x
    x = 31,118,724,025/84,305
  6. Step 6: Final answer
    x = 369,120.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.