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Finding the Third Proportional to 178,111 and 363,485

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Solution

The third proportional to 178,111 and 363,485 is: 741,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,111 : 363,485 = 363,485 : x
  2. Step 2: Convert to fraction form
    178,111/363,485 = 363,485/x
  3. Step 3: Cross multiply
    178,111x = 363,485 × 363,485
  4. Step 4: Simplify right side
    178,111x = 132,121,345,225
  5. Step 5: Solve for x
    x = 132,121,345,225/178,111
  6. Step 6: Final answer
    x = 741,792.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.